57824928 has 120 divisors (see below), whose sum is σ = 194416992. Its totient is φ = 16516224.

The previous prime is 57824917. The next prime is 57824929. The reversal of 57824928 is 82942875.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57824929) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16551 + ... + 19737.

Almost surely, 2^57824928 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 57824928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97208496).

57824928 is an abundant number, since it is smaller than the sum of its proper divisors (136592064).

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

57824928 is a wasteful number, since it uses less digits than its factorization.

57824928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3199 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 57824928 is about 7604.2703792014. The cubic root of 57824928 is about 386.6977990523.

The spelling of 57824928 in words is "fifty-seven million, eight hundred twenty-four thousand, nine hundred twenty-eight".