13392288 has 216 divisors, whose sum is σ = 48363588. Its totient is φ = 3483648.

The previous prime is 13392263. The next prime is 13392293. The reversal of 13392288 is 88229331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13046544 + 345744 = 3612^2 + 588^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183420 + ... + 183492.

Almost surely, 2^13392288 is an apocalyptic number.

13392288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13392288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24181794).

13392288 is an abundant number, since it is smaller than the sum of its proper divisors (34971300).

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

13392288 is a wasteful number, since it uses less digits than its factorization.

13392288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 98 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13392288 is about 3659.5475130131. The cubic root of 13392288 is about 237.4751988876.

The spelling of 13392288 in words is "thirteen million, three hundred ninety-two thousand, two hundred eighty-eight".