813083328 has 42 divisors (see below), whose sum is σ = 2330558204. Its totient is φ = 271027584.

The previous prime is 813083317. The next prime is 813083329. The reversal of 813083328 is 823380318.

It is a super-2 number, since 2×813083328² = 1322208996543111168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 813083292 and 813083301.

It is not an unprimeable number, because it can be changed into a prime (813083329) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 705226 + ... + 706377.

Almost surely, 2^813083328 is an apocalyptic number.

It is an amenable number.

813083328 is an abundant number, since it is smaller than the sum of its proper divisors (1517474876).

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

813083328 is a wasteful number, since it uses less digits than its factorization.

813083328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411621 (or 1411608 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 813083328 is about 28514.6160416022. The cubic root of 813083328 is about 933.3510463759.

The spelling of 813083328 in words is "eight hundred thirteen million, eighty-three thousand, three hundred twenty-eight".