9928128 has 112 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 2770944.

The previous prime is 9928081. The next prime is 9928129. The reversal of 9928128 is 8218299.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9928129) by changing a digit.

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, 111508 + ... + 111596.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 2^9928128 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 9928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

9928128 is an abundant number, since it is smaller than the sum of its proper divisors (20795712).

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

9928128 is a wasteful number, since it uses less digits than its factorization.

9928128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 9928128 is about 3150.8932066955. The cubic root of 9928128 is about 214.9260823959.

The spelling of 9928128 in words is "nine million, nine hundred twenty-eight thousand, one hundred twenty-eight".