813204128 has 48 divisors (see below), whose sum is σ = 1754978400. Its totient is φ = 367852800.

The previous prime is 813204103. The next prime is 813204143. The reversal of 813204128 is 821402318.

It is a super-2 number, since 2×813204128² = 1322601907592480768, 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 813204128.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68798 + ... + 79746.

It is an arithmetic number, because the mean of its divisors is an integer number (36562050).

Almost surely, 2^813204128 is an apocalyptic number.

813204128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813204128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877489200).

813204128 is an abundant number, since it is smaller than the sum of its proper divisors (941774272).

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

813204128 is a wasteful number, since it uses less digits than its factorization.

813204128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11181 (or 11173 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 813204128 is about 28516.7341748665. The cubic root of 813204128 is about 933.3972668223.

The spelling of 813204128 in words is "eight hundred thirteen million, two hundred four thousand, one hundred twenty-eight".