7984128 has 88 divisors (see below), whose sum is σ = 22402368. Its totient is φ = 2523136.

The previous prime is 7984127. The next prime is 7984129. The reversal of 7984128 is 8214897.

It is an interprime number because it is at equal distance from previous prime (7984127) and next prime (7984129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7984121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70600 + ... + 70712.

Almost surely, 2^7984128 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 7984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11201184).

7984128 is an abundant number, since it is smaller than the sum of its proper divisors (14418240).

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

7984128 is a wasteful number, since it uses less digits than its factorization.

7984128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 7984128 is about 2825.6199319795. The cubic root of 7984128 is about 199.8676457644.

The spelling of 7984128 in words is "seven million, nine hundred eighty-four thousand, one hundred twenty-eight".