57330832 has 40 divisors (see below), whose sum is σ = 120851640. Its totient is φ = 26188800.

The previous prime is 57330821. The next prime is 57330857. The reversal of 57330832 is 23803375.

It can be written as a sum of positive squares in 4 ways, for example, as 28772496 + 28558336 = 5364^2 + 5344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57330794 and 57330803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19644 + ... + 22372.

It is an arithmetic number, because the mean of its divisors is an integer number (3021291).

Almost surely, 2^57330832 is an apocalyptic number.

57330832 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 57330832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60425820).

57330832 is an abundant number, since it is smaller than the sum of its proper divisors (63520808).

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

57330832 is a wasteful number, since it uses less digits than its factorization.

57330832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 57330832 is about 7571.7126200088. The cubic root of 57330832 is about 385.5932429387.

The spelling of 57330832 in words is "fifty-seven million, three hundred thirty thousand, eight hundred thirty-two".