8002196928 has 336 divisors, whose sum is σ = 26349350400. Its totient is φ = 2361415680.

The previous prime is 8002196911. The next prime is 8002196953. The reversal of 8002196928 is 8296912008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101293593 + ... + 101293671.

Almost surely, 2^8002196928 is an apocalyptic number.

8002196928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8002196928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13174675200).

8002196928 is an abundant number, since it is smaller than the sum of its proper divisors (18347153472).

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

8002196928 is a wasteful number, since it uses less digits than its factorization.

8002196928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 8002196928 is about 89454.9994578280. Note that the first 3 decimals coincide. The cubic root of 8002196928 is about 2000.1830605772.

The spelling of 8002196928 in words is "eight billion, two million, one hundred ninety-six thousand, nine hundred twenty-eight".