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28668024 = 23327115171
BaseRepresentation
bin110110101011…
…1000001111000
31222221111010200
41231113001320
524314334044
62502242200
7465450150
oct155270170
958844120
1028668024
1115200790
129726360
135c29938
143b43760
1527b4369
hex1b57078

28668024 has 96 divisors (see below), whose sum is σ = 96819840. Its totient is φ = 7444800.

The previous prime is 28668023. The next prime is 28668053. The reversal of 28668024 is 42086682.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28668024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28668023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2959 + ... + 8129.

It is an arithmetic number, because the mean of its divisors is an integer number (1008540).

Almost surely, 228668024 is an apocalyptic number.

28668024 is a gapful number since it is divisible by the number (24) 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 28668024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48409920).

28668024 is an abundant number, since it is smaller than the sum of its proper divisors (68151816).

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

28668024 is a wasteful number, since it uses less digits than its factorization.

28668024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 28668024 is about 5354.2528890593. The cubic root of 28668024 is about 306.0548408694.

The spelling of 28668024 in words is "twenty-eight million, six hundred sixty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5171 5544 10342 15513 20684 31026 36197 41368 46539 56881 62052 72394 93078 108591 113762 124104 144788 170643 186156 217182 227524 289576 325773 341286 372312 398167 434364 455048 511929 651546 682572 796334 868728 1023858 1194501 1303092 1365144 1592668 2047716 2389002 2606184 3185336 3583503 4095432 4778004 7167006 9556008 14334012 28668024