57938832 has 120 divisors (see below), whose sum is σ = 186863040. Its totient is φ = 16416000.

The previous prime is 57938831. The next prime is 57938833. The reversal of 57938832 is 23883975.

It is an interprime number because it is at equal distance from previous prime (57938831) and next prime (57938833).

It is not an unprimeable number, because it can be changed into a prime (57938831) 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 23 ways as a sum of consecutive naturals, for example, 230707 + ... + 230957.

It is an arithmetic number, because the mean of its divisors is an integer number (1557192).

Almost surely, 2^57938832 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 57938832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93431520).

57938832 is an abundant number, since it is smaller than the sum of its proper divisors (128924208).

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

57938832 is a wasteful number, since it uses less digits than its factorization.

57938832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 57938832 is about 7611.7561705562. The cubic root of 57938832 is about 386.9515393118.

The spelling of 57938832 in words is "fifty-seven million, nine hundred thirty-eight thousand, eight hundred thirty-two".