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28431072 = 2532175807
BaseRepresentation
bin110110001110…
…1001011100000
31222111110002200
41230131023200
524234243242
62453213200
7463442265
oct154351340
958443080
1028431072
111505975a
129631200
135b75b27
143ac126c
15276904c
hex1b1d2e0

28431072 has 72 divisors (see below), whose sum is σ = 85621536. Its totient is φ = 8918016.

The previous prime is 28431071. The next prime is 28431079. The reversal of 28431072 is 27013482.

28431072 is a `hidden beast` number, since 284 + 310 + 72 = 666.

28431072 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28431071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1993 + ... + 7799.

It is an arithmetic number, because the mean of its divisors is an integer number (1189188).

Almost surely, 228431072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28431072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42810768).

28431072 is an abundant number, since it is smaller than the sum of its proper divisors (57190464).

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

28431072 is a wasteful number, since it uses less digits than its factorization.

28431072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5840 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 28431072 is about 5332.0795192870. The cubic root of 28431072 is about 305.2092875130.

The spelling of 28431072 in words is "twenty-eight million, four hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 5807 11614 17421 23228 34842 46456 52263 69684 92912 98719 104526 139368 185824 197438 209052 278736 296157 394876 418104 557472 592314 789752 836208 888471 1184628 1579504 1672416 1776942 2369256 3159008 3553884 4738512 7107768 9477024 14215536 28431072