13281888 has 48 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 4283520.

The previous prime is 13281823. The next prime is 13281889. The reversal of 13281888 is 88818231.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13281889) 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, 745 + ... + 5207.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 2^13281888 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 13281888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

13281888 is an abundant number, since it is smaller than the sum of its proper divisors (22715808).

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

13281888 is a wasteful number, since it uses less digits than its factorization.

13281888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4507 (or 4499 counting only the distinct ones).

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

The square root of 13281888 is about 3644.4324661050. The cubic root of 13281888 is about 236.8208512805.

The spelling of 13281888 in words is "thirteen million, two hundred eighty-one thousand, eight hundred eighty-eight".