8008190928 has 80 divisors (see below), whose sum is σ = 23082153600. Its totient is φ = 2658286080.

The previous prime is 8008190921. The next prime is 8008190947. The reversal of 8008190928 is 8290918008.

It is a super-2 number, since 2×8008190928² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008190921) 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, 65653 + ... + 142571.

It is an arithmetic number, because the mean of its divisors is an integer number (288526920).

Almost surely, 2^8008190928 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 8008190928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11541076800).

8008190928 is an abundant number, since it is smaller than the sum of its proper divisors (15073962672).

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

8008190928 is a wasteful number, since it uses less digits than its factorization.

8008190928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77177 (or 77165 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 8008190928 is about 89488.4960651368. The cubic root of 8008190928 is about 2000.6823445098.

The spelling of 8008190928 in words is "eight billion, eight million, one hundred ninety thousand, nine hundred twenty-eight".