8297872128 has 432 divisors, whose sum is σ = 31010586880. Its totient is φ = 2072272896.

The previous prime is 8297872123. The next prime is 8297872157. The reversal of 8297872128 is 8212787928.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8297872123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3982575 + ... + 3984657.

Almost surely, 2^8297872128 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 8297872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15505293440).

8297872128 is an abundant number, since it is smaller than the sum of its proper divisors (22712714752).

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

8297872128 is a wasteful number, since it uses less digits than its factorization.

8297872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2127 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The square root of 8297872128 is about 91092.6568280891. The cubic root of 8297872128 is about 2024.5208135484.

The spelling of 8297872128 in words is "eight billion, two hundred ninety-seven million, eight hundred seventy-two thousand, one hundred twenty-eight".