9937728 has 112 divisors (see below), whose sum is σ = 29992320. Its totient is φ = 3265920.

The previous prime is 9937699. The next prime is 9937729. The reversal of 9937728 is 8277399.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9937729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139933 + ... + 140003.

Almost surely, 2^9937728 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 9937728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14996160).

9937728 is an abundant number, since it is smaller than the sum of its proper divisors (20054592).

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

9937728 is an frugal number, since it uses more digits than its factorization.

9937728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 9937728 is about 3152.4162161745. The cubic root of 9937728 is about 214.9953343138.

The spelling of 9937728 in words is "nine million, nine hundred thirty-seven thousand, seven hundred twenty-eight".