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28265120 = 25513107127
BaseRepresentation
bin110101111010…
…0101010100000
31222012000110022
41223310222200
524213440440
62445453012
7462151412
oct153645240
958160408
1028265120
1114a56004
129571168
135b18430
143a7a9b2
152734cb5
hex1af4aa0

28265120 has 96 divisors (see below), whose sum is σ = 73156608. Its totient is φ = 10257408.

The previous prime is 28265093. The next prime is 28265177. The reversal of 28265120 is 2156282.

It is a super-2 number, since 2×282651202 = 1597834017228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 28265120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222497 + ... + 222623.

It is an arithmetic number, because the mean of its divisors is an integer number (762048).

Almost surely, 228265120 is an apocalyptic number.

28265120 is a gapful number since it is divisible by the number (20) 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 28265120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36578304).

28265120 is an abundant number, since it is smaller than the sum of its proper divisors (44891488).

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

28265120 is a wasteful number, since it uses less digits than its factorization.

28265120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 28265120 is about 5316.4950860506. The cubic root of 28265120 is about 304.6142934094.

The spelling of 28265120 in words is "twenty-eight million, two hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 107 127 130 160 208 214 254 260 416 428 508 520 535 635 856 1016 1040 1070 1270 1391 1651 1712 2032 2080 2140 2540 2782 3302 3424 4064 4280 5080 5564 6604 6955 8255 8560 10160 11128 13208 13589 13910 16510 17120 20320 22256 26416 27178 27820 33020 44512 52832 54356 55640 66040 67945 108712 111280 132080 135890 176657 217424 222560 264160 271780 353314 434848 543560 706628 883285 1087120 1413256 1766570 2174240 2826512 3533140 5653024 7066280 14132560 28265120