57228864 has 224 divisors, whose sum is σ = 195072000. Its totient is φ = 14676480.

The previous prime is 57228863. The next prime is 57228877. The reversal of 57228864 is 46882275.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (57228863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724377 + ... + 724455.

Almost surely, 2^57228864 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 57228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97536000).

57228864 is an abundant number, since it is smaller than the sum of its proper divisors (137843136).

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

57228864 is a wasteful number, since it uses less digits than its factorization.

57228864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 57228864 is about 7564.9761400813. The cubic root of 57228864 is about 385.3645032782.

The spelling of 57228864 in words is "fifty-seven million, two hundred twenty-eight thousand, eight hundred sixty-four".