9872928 has 120 divisors (see below), whose sum is σ = 31376268. Its totient is φ = 3027456.

The previous prime is 9872927. The next prime is 9872939. The reversal of 9872928 is 8292789.

It can be written as a sum of positive squares in 2 ways, for example, as 9809424 + 63504 = 3132^2 + 252^2 .

It is not an unprimeable number, because it can be changed into a prime (9872921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33550 + ... + 33842.

Almost surely, 2^9872928 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 9872928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15688134).

9872928 is an abundant number, since it is smaller than the sum of its proper divisors (21503340).

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

9872928 is a wasteful number, since it uses less digits than its factorization.

9872928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 9872928 is about 3142.1215762602. The cubic root of 9872928 is about 214.5270150336.

The spelling of 9872928 in words is "nine million, eight hundred seventy-two thousand, nine hundred twenty-eight".