57283632 has 160 divisors (see below), whose sum is σ = 198003200. Its totient is φ = 15489792.

The previous prime is 57283609. The next prime is 57283637. The reversal of 57283632 is 23638275.

57283632 is a `hidden beast` number, since 572 + 83 + 6 + 3 + 2 = 666.

It is a super-2 number, since 2×57283632² = 6562828990222848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57283637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56958 + ... + 57954.

It is an arithmetic number, because the mean of its divisors is an integer number (1237520).

Almost surely, 2^57283632 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 57283632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99001600).

57283632 is an abundant number, since it is smaller than the sum of its proper divisors (140719568).

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

57283632 is a wasteful number, since it uses less digits than its factorization.

57283632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1028 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 57283632 is about 7568.5951140222. The cubic root of 57283632 is about 385.4873953092.

The spelling of 57283632 in words is "fifty-seven million, two hundred eighty-three thousand, six hundred thirty-two".