957792048 has 80 divisors (see below), whose sum is σ = 2570073600. Its totient is φ = 306996480.

The previous prime is 957792037. The next prime is 957792061. The reversal of 957792048 is 840297759.

It is a Smith number, since the sum of its digits (51) 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 15 ways as a sum of consecutive naturals, for example, 375963 + ... + 378501.

It is an arithmetic number, because the mean of its divisors is an integer number (32125920).

Almost surely, 2^957792048 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 957792048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285036800).

957792048 is an abundant number, since it is smaller than the sum of its proper divisors (1612281552).

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

957792048 is a wasteful number, since it uses less digits than its factorization.

957792048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 957792048 is about 30948.2155866861. The cubic root of 957792048 is about 985.7279605868.

The spelling of 957792048 in words is "nine hundred fifty-seven million, seven hundred ninety-two thousand, forty-eight".