57950892 has 108 divisors (see below), whose sum is σ = 163046520. Its totient is φ = 17293056.

The previous prime is 57950881. The next prime is 57950923. The reversal of 57950892 is 29805975.

It is a happy number.

57950892 is a `hidden beast` number, since 57 + 9 + 508 + 92 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 323659 + ... + 323837.

It is an arithmetic number, because the mean of its divisors is an integer number (1509690).

Almost surely, 2^57950892 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 57950892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81523260).

57950892 is an abundant number, since it is smaller than the sum of its proper divisors (105095628).

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

57950892 is a wasteful number, since it uses less digits than its factorization.

57950892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 57950892 is about 7612.5483249698. The cubic root of 57950892 is about 386.9783855084.

The spelling of 57950892 in words is "fifty-seven million, nine hundred fifty thousand, eight hundred ninety-two".