813288992 has 48 divisors (see below), whose sum is σ = 1668726360. Its totient is φ = 389695488.

The previous prime is 813288967. The next prime is 813289007. The reversal of 813288992 is 299882318.

It can be written as a sum of positive squares in 4 ways, for example, as 487703056 + 325585936 = 22084^2 + 18044^2 .

It is a super-2 number, since 2×813288992² = 1322877969016752128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 813288992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123938 + ... + 130334.

Almost surely, 2^813288992 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 813288992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834363180).

813288992 is an abundant number, since it is smaller than the sum of its proper divisors (855437368).

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

813288992 is a wasteful number, since it uses less digits than its factorization.

813288992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6573 (or 6565 counting only the distinct ones).

The product of its digits is 497664, while the sum is 50.

The square root of 813288992 is about 28518.2221044721. Note that the first 3 decimals coincide. The cubic root of 813288992 is about 933.4297347138.

The spelling of 813288992 in words is "eight hundred thirteen million, two hundred eighty-eight thousand, nine hundred ninety-two".