13288 has 16 divisors (see below), whose sum is σ = 27360. Its totient is φ = 6000.

The previous prime is 13267. The next prime is 13291. The reversal of 13288 is 88231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a cake number, because a cake can be divided into 13288 parts by 43 planar cuts.

It is an unprimeable number.

13288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13 + ... + 163.

It is an arithmetic number, because the mean of its divisors is an integer number (1710).

2¹³²⁸⁸ 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 13288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13680).

13288 is an abundant number, since it is smaller than the sum of its proper divisors (14072).

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

13288 is a wasteful number, since it uses less digits than its factorization.

13288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 164 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 13288 is about 115.2735876079. The cubic root of 13288 is about 23.6857172098.

The spelling of 13288 in words is "thirteen thousand, two hundred eighty-eight".