57728832 has 56 divisors (see below), whose sum is σ = 174565056. Its totient is φ = 16493568.

The previous prime is 57728791. The next prime is 57728857. The reversal of 57728832 is 23882775.

57728832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20133 + ... + 22820.

Almost surely, 2^57728832 is an apocalyptic number.

It is an amenable number.

57728832 is an abundant number, since it is smaller than the sum of its proper divisors (116836224).

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

57728832 is a wasteful number, since it uses less digits than its factorization.

57728832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42975 (or 42965 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 57728832 is about 7597.9491969873. The cubic root of 57728832 is about 386.4834698303.

The spelling of 57728832 in words is "fifty-seven million, seven hundred twenty-eight thousand, eight hundred thirty-two".