9928366560 has 384 divisors, whose sum is σ = 39861642240. Its totient is φ = 2260887552.

The previous prime is 9928366517. The next prime is 9928366597. The reversal of 9928366560 is 656638299.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9928366497 and 9928366506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12004867 + ... + 12005693.

It is an arithmetic number, because the mean of its divisors is an integer number (103806360).

Almost surely, 2^9928366560 is an apocalyptic number.

9928366560 is a gapful number since it is divisible by the number (90) 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 9928366560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19930821120).

9928366560 is an abundant number, since it is smaller than the sum of its proper divisors (29933275680).

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

9928366560 is a wasteful number, since it uses less digits than its factorization.

9928366560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 9928366560 is about 99641.1890735955. The cubic root of 9928366560 is about 2149.2780384678.

The spelling of 9928366560 in words is "nine billion, nine hundred twenty-eight million, three hundred sixty-six thousand, five hundred sixty".