957828720 has 160 divisors (see below), whose sum is σ = 3047429952. Its totient is φ = 248774656.

The previous prime is 957828701. The next prime is 957828727. The reversal of 957828720 is 27828759.

957828720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 957828720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957828727) 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, 3268894 + ... + 3269186.

Almost surely, 2^957828720 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 957828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523714976).

957828720 is an abundant number, since it is smaller than the sum of its proper divisors (2089601232).

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

957828720 is a wasteful number, since it uses less digits than its factorization.

957828720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 957828720 is about 30948.8080545923. The cubic root of 957828720 is about 985.7405409636.

The spelling of 957828720 in words is "nine hundred fifty-seven million, eight hundred twenty-eight thousand, seven hundred twenty".