7984288 has 48 divisors (see below), whose sum is σ = 17939880. Its totient is φ = 3465216.

The previous prime is 7984261. The next prime is 7984331. The reversal of 7984288 is 8824897.

It can be written as a sum of positive squares in 4 ways, for example, as 4787344 + 3196944 = 2188^2 + 1788^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6508 + ... + 7636.

Almost surely, 2^7984288 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 7984288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8969940).

7984288 is an abundant number, since it is smaller than the sum of its proper divisors (9955592).

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

7984288 is a wasteful number, since it uses less digits than its factorization.

7984288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1161 counting only the distinct ones).

The product of its digits is 258048, while the sum is 46.

The square root of 7984288 is about 2825.6482442088. The cubic root of 7984288 is about 199.8689808553.

The spelling of 7984288 in words is "seven million, nine hundred eighty-four thousand, two hundred eighty-eight".