57388032 has 132 divisors (see below), whose sum is σ = 178825920. Its totient is φ = 17620992.

The previous prime is 57388031. The next prime is 57388043. The reversal of 57388032 is 23088375.

57388032 is a `hidden beast` number, since 573 + 8 + 80 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (57388031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119569 + ... + 120047.

Almost surely, 2^57388032 is an apocalyptic number.

57388032 is a gapful number since it is divisible by the number (52) 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 57388032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89412960).

57388032 is an abundant number, since it is smaller than the sum of its proper divisors (121437888).

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

57388032 is a wasteful number, since it uses less digits than its factorization.

57388032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 57388032 is about 7575.4888951143. The cubic root of 57388032 is about 385.7214380802.

The spelling of 57388032 in words is "fifty-seven million, three hundred eighty-eight thousand, thirty-two".