57112832 has 108 divisors (see below), whose sum is σ = 138061980. Its totient is φ = 23482368.

The previous prime is 57112823. The next prime is 57112837. The reversal of 57112832 is 23821175.

It can be written as a sum of positive squares in 2 ways, for example, as 23193856 + 33918976 = 4816^2 + 5824^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 57112795 and 57112804.

It is not an unprimeable number, because it can be changed into a prime (57112837) 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, 363698 + ... + 363854.

Almost surely, 2^57112832 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 57112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69030990).

57112832 is an abundant number, since it is smaller than the sum of its proper divisors (80949148).

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

57112832 is a wasteful number, since it uses less digits than its factorization.

57112832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 57112832 is about 7557.3032227111. The cubic root of 57112832 is about 385.1038838124.

The spelling of 57112832 in words is "fifty-seven million, one hundred twelve thousand, eight hundred thirty-two".