8028806401 has 16 divisors (see below), whose sum is σ = 10012520448. Its totient is φ = 6254600400.

The previous prime is 8028806363. The next prime is 8028806437. The reversal of 8028806401 is 1046088208.

It is a cyclic number.

It is not a de Polignac number, because 8028806401 - 2⁷ = 8028806273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8028806441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351046 + ... + 373216.

It is an arithmetic number, because the mean of its divisors is an integer number (625782528).

Almost surely, 2^8028806401 is an apocalyptic number.

8028806401 is the 51733-rd octagonal number.

It is an amenable number.

8028806401 is a deficient number, since it is larger than the sum of its proper divisors (1983714047).

8028806401 is a wasteful number, since it uses less digits than its factorization.

8028806401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26892.

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 8028806401 is about 89603.6070758315. The cubic root of 8028806401 is about 2002.3976578864.

The spelling of 8028806401 in words is "eight billion, twenty-eight million, eight hundred six thousand, four hundred one".