57284000 has 48 divisors (see below), whose sum is σ = 140756616. Its totient is φ = 22912000.

The previous prime is 57283997. The next prime is 57284009. The reversal of 57284000 is 48275.

It can be written as a sum of positive squares in 4 ways, for example, as 3055504 + 54228496 = 1748^2 + 7364^2 .

It is not an unprimeable number, because it can be changed into a prime (57284009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3161 + ... + 11160.

Almost surely, 2^57284000 is an apocalyptic number.

57284000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57284000 is an abundant number, since it is smaller than the sum of its proper divisors (83472616).

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

57284000 is a wasteful number, since it uses less digits than its factorization.

57284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14346 (or 14328 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 57284000 is about 7568.6194249678. The cubic root of 57284000 is about 385.4882207868.

The spelling of 57284000 in words is "fifty-seven million, two hundred eighty-four thousand".