7984928 has 48 divisors (see below), whose sum is σ = 18406080. Its totient is φ = 3338496.

The previous prime is 7984903. The next prime is 7984931. The reversal of 7984928 is 8294897.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9218 + ... + 10046.

It is an arithmetic number, because the mean of its divisors is an integer number (383460).

Almost surely, 2^7984928 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 7984928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9203040).

7984928 is an abundant number, since it is smaller than the sum of its proper divisors (10421152).

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

7984928 is a wasteful number, since it uses less digits than its factorization.

7984928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 881 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 7984928 is about 2825.7614902889. The cubic root of 7984928 is about 199.8743210405.

The spelling of 7984928 in words is "seven million, nine hundred eighty-four thousand, nine hundred twenty-eight".