57284400 has 60 divisors (see below), whose sum is σ = 183504872. Its totient is φ = 15275520.

The previous prime is 57284389. The next prime is 57284443. The reversal of 57284400 is 448275.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22669 + ... + 25068.

Almost surely, 2^57284400 is an apocalyptic number.

57284400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57284400 is an abundant number, since it is smaller than the sum of its proper divisors (126220472).

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

57284400 is a wasteful number, since it uses less digits than its factorization.

57284400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47758 (or 47747 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 57284400 is about 7568.6458498202. The cubic root of 57284400 is about 385.4891180410.

The spelling of 57284400 in words is "fifty-seven million, two hundred eighty-four thousand, four hundred".