57838032 has 120 divisors (see below), whose sum is σ = 188926400. Its totient is φ = 16511040.

The previous prime is 57838021. The next prime is 57838049. The reversal of 57838032 is 23083875.

57838032 is a `hidden beast` number, since 578 + 3 + 80 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48807 + ... + 49977.

Almost surely, 2^57838032 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 57838032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94463200).

57838032 is an abundant number, since it is smaller than the sum of its proper divisors (131088368).

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

57838032 is a wasteful number, since it uses less digits than its factorization.

57838032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1183 counting only the distinct ones).

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

The square root of 57838032 is about 7605.1319515180. The cubic root of 57838032 is about 386.7270073621.

The spelling of 57838032 in words is "fifty-seven million, eight hundred thirty-eight thousand, thirty-two".