13628 has 6 divisors (see below), whose sum is σ = 23856. Its totient is φ = 6812.

The previous prime is 13627. The next prime is 13633. The reversal of 13628 is 82631.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1700 + ... + 1707.

It is an arithmetic number, because the mean of its divisors is an integer number (3976).

2¹³⁶²⁸ is an apocalyptic number.

It is an amenable number.

13628 is a deficient number, since it is larger than the sum of its proper divisors (10228).

13628 is a wasteful number, since it uses less digits than its factorization.

13628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3409 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 13628 is about 116.7390251801. The cubic root of 13628 is about 23.8860337513.

The spelling of 13628 in words is "thirteen thousand, six hundred twenty-eight".