57936032 has 72 divisors (see below), whose sum is σ = 144789120. Its totient is φ = 22565760.

The previous prime is 57936023. The next prime is 57936037. The reversal of 57936032 is 23063975.

It is a junction number, because it is equal to n+sod(n) for n = 57935983 and 57936001.

It is not an unprimeable number, because it can be changed into a prime (57936037) 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, 15569 + ... + 18927.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^57936032 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 57936032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

57936032 is an abundant number, since it is smaller than the sum of its proper divisors (86853088).

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

57936032 is a wasteful number, since it uses less digits than its factorization.

57936032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 35.

The square root of 57936032 is about 7611.5722423163. The cubic root of 57936032 is about 386.9453058312.

The spelling of 57936032 in words is "fifty-seven million, nine hundred thirty-six thousand, thirty-two".