9728982213120 has 960 divisors, whose sum is σ = 38274539022720. Its totient is φ = 2357510012928.

The previous prime is 9728982213107. The next prime is 9728982213163. The reversal of 9728982213120 is 213122898279.

9728982213120 is a `hidden beast` number, since 97 + 289 + 8 + 221 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 306669579 + ... + 306701301.

It is an arithmetic number, because the mean of its divisors is an integer number (39869311482).

Almost surely, 2^{9728982213120} is an apocalyptic number.

9728982213120 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 9728982213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19137269511360).

9728982213120 is an abundant number, since it is smaller than the sum of its proper divisors (28545556809600).

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

9728982213120 is a wasteful number, since it uses less digits than its factorization.

9728982213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31807 (or 31779 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 9728982213120 in words is "nine trillion, seven hundred twenty-eight billion, nine hundred eighty-two million, two hundred thirteen thousand, one hundred twenty".