7288008 has 128 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 1854720.

The previous prime is 7287997. The next prime is 7288013. The reversal of 7288008 is 8008827.

7288008 is a modest number, since divided by 8008 gives 728 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 7288008.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102613 + ... + 102683.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^7288008 is an apocalyptic number.

7288008 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7288008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

7288008 is an abundant number, since it is smaller than the sum of its proper divisors (15936312).

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

7288008 is a wasteful number, since it uses less digits than its factorization.

7288008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 7288008 is about 2699.6310859079. The cubic root of 7288008 is about 193.8814594491.

The spelling of 7288008 in words is "seven million, two hundred eighty-eight thousand, eight".