57028608 has 312 divisors, whose sum is σ = 214669728. Its totient is φ = 14155776.

The previous prime is 57028607. The next prime is 57028637. The reversal of 57028608 is 80682075.

57028608 is a `hidden beast` number, since 570 + 2 + 86 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

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

It is not an unprimeable number, because it can be changed into a prime (57028603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3354616 + ... + 3354632.

It is an arithmetic number, because the mean of its divisors is an integer number (688044).

Almost surely, 2^57028608 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 57028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107334864).

57028608 is an abundant number, since it is smaller than the sum of its proper divisors (157641120).

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

57028608 is a wasteful number, since it uses less digits than its factorization.

57028608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 57028608 is about 7551.7288086901. The cubic root of 57028608 is about 384.9144871080.

The spelling of 57028608 in words is "fifty-seven million, twenty-eight thousand, six hundred eight".