5109888 has 64 divisors (see below), whose sum is σ = 15520320. Its totient is φ = 1459200.

The previous prime is 5109883. The next prime is 5109899. The reversal of 5109888 is 8889015.

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

It is a super-2 number, since 2×5109888² = 52221910745088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5109883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1738 + ... + 3638.

It is an arithmetic number, because the mean of its divisors is an integer number (242505).

Almost surely, 2^5109888 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 5109888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760160).

5109888 is an abundant number, since it is smaller than the sum of its proper divisors (10410432).

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

5109888 is a wasteful number, since it uses less digits than its factorization.

5109888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 5109888 is about 2260.5061380142. The cubic root of 5109888 is about 172.2412335278.

The spelling of 5109888 in words is "five million, one hundred nine thousand, eight hundred eighty-eight".