57728000 has 176 divisors, whose sum is σ = 160943328. Its totient is φ = 20480000.

The previous prime is 57727997. The next prime is 57728003. The reversal of 57728000 is 82775.

It is an interprime number because it is at equal distance from previous prime (57727997) and next prime (57728003).

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57728003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407980 + ... + 1408020.

Almost surely, 2^57728000 is an apocalyptic number.

57728000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80471664).

57728000 is an abundant number, since it is smaller than the sum of its proper divisors (103215328).

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

57728000 is a wasteful number, since it uses less digits than its factorization.

57728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 57728000 is about 7597.8944451736. The cubic root of 57728000 is about 386.4816131279.

The spelling of 57728000 in words is "fifty-seven million, seven hundred twenty-eight thousand".