57281960 has 128 divisors (see below), whose sum is σ = 147744000. Its totient is φ = 19869696.

The previous prime is 57281947. The next prime is 57281981. The reversal of 57281960 is 6918275.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506864 + ... + 506976.

It is an arithmetic number, because the mean of its divisors is an integer number (1154250).

Almost surely, 2^57281960 is an apocalyptic number.

57281960 is the 4370-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57281960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73872000).

57281960 is an abundant number, since it is smaller than the sum of its proper divisors (90462040).

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

57281960 is a wasteful number, since it uses less digits than its factorization.

57281960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 57281960 is about 7568.4846567857. The cubic root of 57281960 is about 385.4836447254.

The spelling of 57281960 in words is "fifty-seven million, two hundred eighty-one thousand, nine hundred sixty".