9928100 has 72 divisors (see below), whose sum is σ = 26539968. Its totient is φ = 3139200.

The previous prime is 9928081. The next prime is 9928129. The reversal of 9928100 is 18299.

It is a super-2 number, since 2×9928100² = 197134339220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8555 + ... + 9645.

Almost surely, 2^9928100 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 9928100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269984).

9928100 is an abundant number, since it is smaller than the sum of its proper divisors (16611868).

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

9928100 is a wasteful number, since it uses less digits than its factorization.

9928100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 9928100 is about 3150.8887635078. Note that the first 3 decimals coincide. The cubic root of 9928100 is about 214.9258803458.

The spelling of 9928100 in words is "nine million, nine hundred twenty-eight thousand, one hundred".