9928896768 has 432 divisors, whose sum is σ = 34046172160. Its totient is φ = 2724212736.

The previous prime is 9928896701. The next prime is 9928896787. The reversal of 9928896768 is 8676988299.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 9928896696 and 9928896705.

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, 71430843 + ... + 71430981.

Almost surely, 2^9928896768 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 9928896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17023086080).

9928896768 is an abundant number, since it is smaller than the sum of its proper divisors (24117275392).

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

9928896768 is a wasteful number, since it uses less digits than its factorization.

9928896768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 297 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 72.

The square root of 9928896768 is about 99643.8496245503. The cubic root of 9928896768 is about 2149.3162973334.

The spelling of 9928896768 in words is "nine billion, nine hundred twenty-eight million, eight hundred ninety-six thousand, seven hundred sixty-eight".