13328 has 30 divisors (see below), whose sum is σ = 31806. Its totient is φ = 5376.

The previous prime is 13327. The next prime is 13331. The reversal of 13328 is 82331.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 784 = 112^2 + 28^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (13327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 776 + ... + 792.

2¹³³²⁸ 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 13328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15903).

13328 is an abundant number, since it is smaller than the sum of its proper divisors (18478).

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

13328 is a wasteful number, since it uses less digits than its factorization.

13328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 26 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 13328 is about 115.4469575173. The cubic root of 13328 is about 23.7094599253.

Multiplying 13328 by its sum of digits (17), we get a square (226576 = 476²).

13328 divided by its sum of digits (17) gives a square (784 = 28²).

Adding to 13328 its reverse (82331), we get a palindrome (95659).

It can be divided in two parts, 133 and 28, that added together give a palindrome (161).

The spelling of 13328 in words is "thirteen thousand, three hundred twenty-eight".