57921344 has 56 divisors (see below), whose sum is σ = 126735840. Its totient is φ = 26095104.

The previous prime is 57921313. The next prime is 57921371. The reversal of 57921344 is 44312975.

It is a congruent number.

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, 34967 + ... + 36585.

It is an arithmetic number, because the mean of its divisors is an integer number (2263140).

Almost surely, 2^57921344 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 57921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63367920).

57921344 is an abundant number, since it is smaller than the sum of its proper divisors (68814496).

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

57921344 is a wasteful number, since it uses less digits than its factorization.

57921344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1677 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 57921344 is about 7610.6073345036. The cubic root of 57921344 is about 386.9126034822.

The spelling of 57921344 in words is "fifty-seven million, nine hundred twenty-one thousand, three hundred forty-four".