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28265328 = 2433713719
BaseRepresentation
bin110101111010…
…0101101110000
31222012000202000
41223310231300
524213442303
62445454000
7462152130
oct153645560
958160660
1028265328
1114a56183
129571300
135b18560
143a7aac0
152734da3
hex1af4b70

28265328 has 160 divisors (see below), whose sum is σ = 99993600. Its totient is φ = 7444224.

The previous prime is 28265309. The next prime is 28265329. The reversal of 28265328 is 82356282.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28265292 and 28265301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28265329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38953 + ... + 39671.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 228265328 is an apocalyptic number.

28265328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28265328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

28265328 is an abundant number, since it is smaller than the sum of its proper divisors (71728272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28265328 is a wasteful number, since it uses less digits than its factorization.

28265328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 744 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 28265328 is about 5316.5146477744. The cubic root of 28265328 is about 304.6150406156.

It can be divided in two parts, 28 and 265328, that added together give a triangular number (265356 = T728).

The spelling of 28265328 in words is "twenty-eight million, two hundred sixty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 719 728 756 819 936 1008 1092 1404 1438 1456 1512 1638 1872 2157 2184 2457 2808 2876 3024 3276 4314 4368 4914 5033 5616 5752 6471 6552 8628 9347 9828 10066 11504 12942 13104 15099 17256 18694 19413 19656 20132 25884 28041 30198 34512 37388 38826 39312 40264 45297 51768 56082 60396 65429 74776 77652 80528 84123 90594 103536 112164 120792 130858 135891 149552 155304 168246 181188 196287 224328 241584 252369 261716 271782 310608 336492 362376 392574 448656 504738 523432 543564 588861 672984 724752 785148 1009476 1046864 1087128 1177722 1345968 1570296 1766583 2018952 2174256 2355444 3140592 3533166 4037904 4710888 7066332 9421776 14132664 28265328