811601328 has 80 divisors (see below), whose sum is σ = 2186971136. Its totient is φ = 259061760.

The previous prime is 811601317. The next prime is 811601347. The reversal of 811601328 is 823106118.

It is a super-2 number, since 2×811601328² = 1317393431222727168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 811601295 and 811601304.

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, 141525 + ... + 147147.

Almost surely, 2^811601328 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 811601328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093485568).

811601328 is an abundant number, since it is smaller than the sum of its proper divisors (1375369808).

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

811601328 is a wasteful number, since it uses less digits than its factorization.

811601328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5762 (or 5756 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 811601328 is about 28488.6175164749. The cubic root of 811601328 is about 932.7836311826.

The spelling of 811601328 in words is "eight hundred eleven million, six hundred one thousand, three hundred twenty-eight".