9928346688 has 448 divisors, whose sum is σ = 33181747200. Its totient is φ = 2889768960.

The previous prime is 9928346683. The next prime is 9928346711. The reversal of 9928346688 is 8866438299.

9928346688 is a `hidden beast` number, since 9 + 92 + 8 + 3 + 466 + 88 = 666.

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 (9928346683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36908218 + ... + 36908486.

It is an arithmetic number, because the mean of its divisors is an integer number (74066400).

Almost surely, 2^9928346688 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 9928346688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16590873600).

9928346688 is an abundant number, since it is smaller than the sum of its proper divisors (23253400512).

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

9928346688 is a wasteful number, since it uses less digits than its factorization.

9928346688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The square root of 9928346688 is about 99641.0893557472. The cubic root of 9928346688 is about 2149.2766045132.

The spelling of 9928346688 in words is "nine billion, nine hundred twenty-eight million, three hundred forty-six thousand, six hundred eighty-eight".