9728167680 has 648 divisors, whose sum is σ = 42324094176. Its totient is φ = 2019409920.

The previous prime is 9728167639. The next prime is 9728167727. The reversal of 9728167680 is 867618279.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9756942 + ... + 9757938.

Almost surely, 2^9728167680 is an apocalyptic number.

9728167680 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 9728167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21162047088).

9728167680 is an abundant number, since it is smaller than the sum of its proper divisors (32595926496).

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

9728167680 is a wasteful number, since it uses less digits than its factorization.

9728167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 9728167680 is about 98631.4740840874. The cubic root of 9728167680 is about 2134.7335841919.

The spelling of 9728167680 in words is "nine billion, seven hundred twenty-eight million, one hundred sixty-seven thousand, six hundred eighty".