13504288 has 72 divisors (see below), whose sum is σ = 32260032. Its totient is φ = 5450112.

The previous prime is 13504277. The next prime is 13504301. The reversal of 13504288 is 88240531.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80781 + ... + 80947.

It is an arithmetic number, because the mean of its divisors is an integer number (448056).

Almost surely, 2^13504288 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 13504288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130016).

13504288 is an abundant number, since it is smaller than the sum of its proper divisors (18755744).

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

13504288 is a wasteful number, since it uses less digits than its factorization.

13504288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 13504288 is about 3674.8180907359. The cubic root of 13504288 is about 238.1353654069.

The spelling of 13504288 in words is "thirteen million, five hundred four thousand, two hundred eighty-eight".