57009728 has 56 divisors (see below), whose sum is σ = 120213120. Its totient is φ = 26749440.

The previous prime is 57009703. The next prime is 57009749. The reversal of 57009728 is 82790075.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 57009691 and 57009700.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210233 + ... + 210503.

Almost surely, 2^57009728 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 57009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60106560).

57009728 is an abundant number, since it is smaller than the sum of its proper divisors (63203392).

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

57009728 is a wasteful number, since it uses less digits than its factorization.

57009728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 57009728 is about 7550.4786603235. The cubic root of 57009728 is about 384.8720055776.

The spelling of 57009728 in words is "fifty-seven million, nine thousand, seven hundred twenty-eight".