9927637728 has 96 divisors (see below), whose sum is σ = 26742836736. Its totient is φ = 3222955008.

The previous prime is 9927637711. The next prime is 9927637763. The reversal of 9927637728 is 8277367299.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1511700 + ... + 1518252.

It is an arithmetic number, because the mean of its divisors is an integer number (278571216).

Almost surely, 2^9927637728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9927637728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13371418368).

9927637728 is an abundant number, since it is smaller than the sum of its proper divisors (16815199008).

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

9927637728 is a wasteful number, since it uses less digits than its factorization.

9927637728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6976 (or 6968 counting only the distinct ones).

The product of its digits is 16003008, while the sum is 60.

The square root of 9927637728 is about 99637.5317237435. The cubic root of 9927637728 is about 2149.2254450248.

The spelling of 9927637728 in words is "nine billion, nine hundred twenty-seven million, six hundred thirty-seven thousand, seven hundred twenty-eight".