9928272 has 80 divisors (see below), whose sum is σ = 28391040. Its totient is φ = 2979328.

The previous prime is 9928267. The next prime is 9928283. The reversal of 9928272 is 2728299.

It is a self number, because there is not a number n which added to its sum of digits gives 9928272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431653 + ... + 431675.

It is an arithmetic number, because the mean of its divisors is an integer number (354888).

Almost surely, 2^9928272 is an apocalyptic number.

9928272 is a gapful number since it is divisible by the number (92) 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 9928272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14195520).

9928272 is an abundant number, since it is smaller than the sum of its proper divisors (18462768).

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

9928272 is a wasteful number, since it uses less digits than its factorization.

9928272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 45 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 9928272 is about 3150.9160572760. The cubic root of 9928272 is about 214.9271215043.

The spelling of 9928272 in words is "nine million, nine hundred twenty-eight thousand, two hundred seventy-two".