9928512000 has 480 divisors, whose sum is σ = 39036501504. Its totient is φ = 2405376000.

The previous prime is 9928511977. The next prime is 9928512001. The reversal of 9928512000 is 2158299.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9928512001) 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, 6335217 + ... + 6336783.

Almost surely, 2^9928512000 is an apocalyptic number.

9928512000 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 9928512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19518250752).

9928512000 is an abundant number, since it is smaller than the sum of its proper divisors (29107989504).

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

9928512000 is a wasteful number, since it uses less digits than its factorization.

9928512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 9928512000 is about 99641.9188895918. The cubic root of 9928512000 is about 2149.2885332949.

The spelling of 9928512000 in words is "nine billion, nine hundred twenty-eight million, five hundred twelve thousand".