8000288 has 48 divisors (see below), whose sum is σ = 16805880. Its totient is φ = 3741696.

The previous prime is 8000261. The next prime is 8000309. The reversal of 8000288 is 8820008.

It can be written as a sum of positive squares in 4 ways, for example, as 7246864 + 753424 = 2692^2 + 868^2 .

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, 34220 + ... + 34452.

Almost surely, 2^8000288 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 8000288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402940).

8000288 is an abundant number, since it is smaller than the sum of its proper divisors (8805592).

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

8000288 is a wasteful number, since it uses less digits than its factorization.

8000288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 8000288 is about 2828.4780359762. The cubic root of 8000288 is about 200.0023999712.

The spelling of 8000288 in words is "eight million, two hundred eighty-eight", and thus it is an aban number.