13815288 has 48 divisors (see below), whose sum is σ = 39620880. Its totient is φ = 4333824.

The previous prime is 13815257. The next prime is 13815289. The reversal of 13815288 is 88251831.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13815289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4420 + ... + 6867.

It is an arithmetic number, because the mean of its divisors is an integer number (825435).

Almost surely, 2^13815288 is an apocalyptic number.

13815288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13815288 is an abundant number, since it is smaller than the sum of its proper divisors (25805592).

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

13815288 is a wasteful number, since it uses less digits than its factorization.

13815288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11316 (or 11309 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 13815288 is about 3716.8922502542. The cubic root of 13815288 is about 239.9495727386.

The spelling of 13815288 in words is "thirteen million, eight hundred fifteen thousand, two hundred eighty-eight".