13188288 has 56 divisors (see below), whose sum is σ = 35204400. Its totient is φ = 4357120.

The previous prime is 13188283. The next prime is 13188323. The reversal of 13188288 is 88288131.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13188281) 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, 28378 + ... + 28838.

It is an arithmetic number, because the mean of its divisors is an integer number (628650).

Almost surely, 2^13188288 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 13188288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17602200).

13188288 is an abundant number, since it is smaller than the sum of its proper divisors (22016112).

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

13188288 is a wasteful number, since it uses less digits than its factorization.

13188288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 615 counting only the distinct ones).

The product of its digits is 24576, while the sum is 39.

The square root of 13188288 is about 3631.5682562772. The cubic root of 13188288 is about 236.2632320911.

The spelling of 13188288 in words is "thirteen million, one hundred eighty-eight thousand, two hundred eighty-eight".