9980928000 has 672 divisors, whose sum is σ = 38949599520. Its totient is φ = 2521497600.

The previous prime is 9980927977. The next prime is 9980928017. The reversal of 9980928000 is 8290899.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525311991 + ... + 525312009.

Almost surely, 2^9980928000 is an apocalyptic number.

9980928000 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 9980928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19474799760).

9980928000 is an abundant number, since it is smaller than the sum of its proper divisors (28968671520).

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

9980928000 is an equidigital number, since it uses as much as digits as its factorization.

9980928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9980928000 is about 99904.5944889423. The cubic root of 9980928000 is about 2153.0641724316.

The spelling of 9980928000 in words is "nine billion, nine hundred eighty million, nine hundred twenty-eight thousand".