9984128 has 64 divisors (see below), whose sum is σ = 24822720. Its totient is φ = 3886080.

The previous prime is 9984119. The next prime is 9984131. The reversal of 9984128 is 8214899.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9350 + ... + 10362.

It is an arithmetic number, because the mean of its divisors is an integer number (387855).

Almost surely, 2^9984128 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 9984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12411360).

9984128 is an abundant number, since it is smaller than the sum of its proper divisors (14838592).

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

9984128 is a wasteful number, since it uses less digits than its factorization.

9984128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1033 counting only the distinct ones).

The product of its digits is 41472, while the sum is 41.

The square root of 9984128 is about 3159.7670800235. The cubic root of 9984128 is about 215.3294246868.

The spelling of 9984128 in words is "nine million, nine hundred eighty-four thousand, one hundred twenty-eight".