57283200 has 480 divisors, whose sum is σ = 241039260. Its totient is φ = 13271040.

The previous prime is 57283189. The next prime is 57283201. The reversal of 57283200 is 238275.

It can be written as a sum of positive squares in 6 ways, for example, as 18045504 + 39237696 = 4248^2 + 6264^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57283201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3369592 + ... + 3369608.

Almost surely, 2^57283200 is an apocalyptic number.

57283200 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 57283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120519630).

57283200 is an abundant number, since it is smaller than the sum of its proper divisors (183756060).

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

57283200 is a wasteful number, since it uses less digits than its factorization.

57283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 57283200 is about 7568.5665749863. The cubic root of 57283200 is about 385.4864262658.

The spelling of 57283200 in words is "fifty-seven million, two hundred eighty-three thousand, two hundred".