5007312288 has 288 divisors, whose sum is σ = 16758705600. Its totient is φ = 1401753600.

The previous prime is 5007312283. The next prime is 5007312301. The reversal of 5007312288 is 8822137005.

5007312288 is a `hidden beast` number, since 500 + 73 + 1 + 2 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5007312283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2466858 + ... + 2468886.

It is an arithmetic number, because the mean of its divisors is an integer number (58189950).

Almost surely, 2^5007312288 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 5007312288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8379352800).

5007312288 is an abundant number, since it is smaller than the sum of its proper divisors (11751393312).

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

5007312288 is a wasteful number, since it uses less digits than its factorization.

5007312288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5007312288 is about 70762.3649124307. The cubic root of 5007312288 is about 1710.8091297500.

The spelling of 5007312288 in words is "five billion, seven million, three hundred twelve thousand, two hundred eighty-eight".