57128832 has 96 divisors (see below), whose sum is σ = 166359960. Its totient is φ = 18816000.

The previous prime is 57128807. The next prime is 57128843. The reversal of 57128832 is 23882175.

57128832 is a `hidden beast` number, since 571 + 2 + 8 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116107 + ... + 116597.

Almost surely, 2^57128832 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 57128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83179980).

57128832 is an abundant number, since it is smaller than the sum of its proper divisors (109231128).

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

57128832 is a wasteful number, since it uses less digits than its factorization.

57128832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 597 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 57128832 is about 7558.3617272528. The cubic root of 57128832 is about 385.1398423797.

It can be divided in two parts, 571 and 28832, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 57128832 in words is "fifty-seven million, one hundred twenty-eight thousand, eight hundred thirty-two".