7982288 has 40 divisors (see below), whose sum is σ = 16368000. Its totient is φ = 3763584.

The previous prime is 7982267. The next prime is 7982297. The reversal of 7982288 is 8822897.

7982288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 7³ + 9⁷ + 8⁴ + 2¹⁴ + 2²⁰ + 8⁵ + 8⁷ .

It is a congruent number.

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, 40013 + ... + 40211.

It is an arithmetic number, because the mean of its divisors is an integer number (409200).

Almost surely, 2^7982288 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 7982288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8184000).

7982288 is an abundant number, since it is smaller than the sum of its proper divisors (8385712).

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

7982288 is a wasteful number, since it uses less digits than its factorization.

7982288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its digits is 129024, while the sum is 44.

The square root of 7982288 is about 2825.2943209514. The cubic root of 7982288 is about 199.8522909370.

The spelling of 7982288 in words is "seven million, nine hundred eighty-two thousand, two hundred eighty-eight".