57280608 has 360 divisors, whose sum is σ = 218993544. Its totient is φ = 14515200.

The previous prime is 57280583. The next prime is 57280627. The reversal of 57280608 is 80608275.

57280608 is a `hidden beast` number, since 572 + 80 + 6 + 0 + 8 = 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 59 ways as a sum of consecutive naturals, for example, 1397068 + ... + 1397108.

Almost surely, 2^57280608 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 57280608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109496772).

57280608 is an abundant number, since it is smaller than the sum of its proper divisors (161712936).

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

57280608 is a wasteful number, since it uses less digits than its factorization.

57280608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

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

The square root of 57280608 is about 7568.3953385113. The cubic root of 57280608 is about 385.4806119032.

The spelling of 57280608 in words is "fifty-seven million, two hundred eighty thousand, six hundred eight".