5608800288 has 720 divisors, whose sum is σ = 21412702080. Its totient is φ = 1426553856.

The previous prime is 5608800283. The next prime is 5608800341. The reversal of 5608800288 is 8820088065.

5608800288 is a `hidden beast` number, since 560 + 8 + 8 + 0 + 0 + 2 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (5608800283) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 70997433 + ... + 70997511.

It is an arithmetic number, because the mean of its divisors is an integer number (29739864).

Almost surely, 2^5608800288 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 5608800288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10706351040).

5608800288 is an abundant number, since it is smaller than the sum of its proper divisors (15803901792).

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

5608800288 is a wasteful number, since it uses less digits than its factorization.

5608800288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 5608800288 is about 74891.9240505944. The cubic root of 5608800288 is about 1776.7377322255.

The spelling of 5608800288 in words is "five billion, six hundred eight million, eight hundred thousand, two hundred eighty-eight".