13888 has 28 divisors (see below), whose sum is σ = 32512. Its totient is φ = 5760.

The previous prime is 13883. The next prime is 13901. The reversal of 13888 is 88831.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 10.

It is a nialpdrome in base 7 and base 8.

It is not an unprimeable number, because it can be changed into a prime (13883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 433 + ... + 463.

2¹³⁸⁸⁸ 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 13888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16256).

13888 is an abundant number, since it is smaller than the sum of its proper divisors (18624).

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

13888 is an equidigital number, since it uses as much as digits as its factorization.

13888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 40 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The square root of 13888 is about 117.8473589012. The cubic root of 13888 is about 24.0369800277.

13888 divided by its sum of digits (28) gives a triangular number (496 = T₃₁).

The spelling of 13888 in words is "thirteen thousand, eight hundred eighty-eight".