9728814310992 has 120 divisors (see below), whose sum is σ = 31245879213120. Its totient is φ = 2768127298560.

The previous prime is 9728814310913. The next prime is 9728814310997. The reversal of 9728814310992 is 2990134188279.

9728814310992 is a `hidden beast` number, since 97 + 28 + 8 + 1 + 431 + 0 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9728814310997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19781142 + ... + 20266997.

It is an arithmetic number, because the mean of its divisors is an integer number (260382326776).

Almost surely, 2^{9728814310992} is an apocalyptic number.

It is an amenable number.

9728814310992 is an abundant number, since it is smaller than the sum of its proper divisors (21517064902128).

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

9728814310992 is a wasteful number, since it uses less digits than its factorization.

9728814310992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40048401 (or 40048392 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 9728814310992 in words is "nine trillion, seven hundred twenty-eight billion, eight hundred fourteen million, three hundred ten thousand, nine hundred ninety-two".