5013888 has 64 divisors (see below), whose sum is σ = 14541120. Its totient is φ = 1518080.

The previous prime is 5013871. The next prime is 5013917. The reversal of 5013888 is 8883105.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 3631 + ... + 4817.

It is an arithmetic number, because the mean of its divisors is an integer number (227205).

Almost surely, 2^5013888 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 5013888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270560).

5013888 is an abundant number, since it is smaller than the sum of its proper divisors (9527232).

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

5013888 is a wasteful number, since it uses less digits than its factorization.

5013888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 5013888 is about 2239.1712752713. The cubic root of 5013888 is about 171.1557692823.

It can be divided in two parts, 501388 and 8, that multiplied together give a palindrome (4011104).

The spelling of 5013888 in words is "five million, thirteen thousand, eight hundred eighty-eight".