57829968 has 120 divisors (see below), whose sum is σ = 187095168. Its totient is φ = 16333056.

The previous prime is 57829957. The next prime is 57829987. The reversal of 57829968 is 86992875.

It is a happy number.

57829968 is a `hidden beast` number, since 578 + 2 + 9 + 9 + 68 = 666.

Its product of digits (2177280) is a multiple of the sum of its prime divisors (672).

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, 103546 + ... + 104102.

Almost surely, 2^57829968 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 57829968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93547584).

57829968 is an abundant number, since it is smaller than the sum of its proper divisors (129265200).

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

57829968 is a wasteful number, since it uses less digits than its factorization.

57829968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 672 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 57829968 is about 7604.6017647211. The cubic root of 57829968 is about 386.7090335398.

The spelling of 57829968 in words is "fifty-seven million, eight hundred twenty-nine thousand, nine hundred sixty-eight".