8001311328 has 48 divisors (see below), whose sum is σ = 23337160560. Its totient is φ = 2667103488.

The previous prime is 8001311291. The next prime is 8001311363. The reversal of 8001311328 is 8231131008.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×8001311328² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 4629525 + ... + 4631252.

It is an arithmetic number, because the mean of its divisors is an integer number (486190845).

Almost surely, 2^8001311328 is an apocalyptic number.

It is an amenable number.

8001311328 is an abundant number, since it is smaller than the sum of its proper divisors (15335849232).

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

8001311328 is a wasteful number, since it uses less digits than its factorization.

8001311328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9260796 (or 9260782 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8001311328 is about 89450.0493459897. The cubic root of 8001311328 is about 2000.1092713631.

The spelling of 8001311328 in words is "eight billion, one million, three hundred eleven thousand, three hundred twenty-eight".