5007288 has 64 divisors (see below), whose sum is σ = 14716800. Its totient is φ = 1399680.

The previous prime is 5007283. The next prime is 5007313. The reversal of 5007288 is 8827005.

5007288 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×5007288³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5007283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2703 + ... + 4161.

It is an arithmetic number, because the mean of its divisors is an integer number (229950).

Almost surely, 2^5007288 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 5007288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358400).

5007288 is an abundant number, since it is smaller than the sum of its proper divisors (9709512).

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

5007288 is a wasteful number, since it uses less digits than its factorization.

5007288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 5007288 is about 2237.6970304311. The cubic root of 5007288 is about 171.0806363649.

The spelling of 5007288 in words is "five million, seven thousand, two hundred eighty-eight".