28635 has 16 divisors (see below), whose sum is σ = 48384. Its totient is φ = 14432.

The previous prime is 28631. The next prime is 28643. The reversal of 28635 is 53682.

It is a cyclic number.

It is not a de Polignac number, because 28635 - 2² = 28631 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (28631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2²⁸⁶³⁵ is an apocalyptic number.

28635 is a deficient number, since it is larger than the sum of its proper divisors (19749).

28635 is a wasteful number, since it uses less digits than its factorization.

28635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114.

The product of its digits is 1440, while the sum is 24.

The square root of 28635 is about 169.2187932825. The cubic root of 28635 is about 30.5937276221.

The spelling of 28635 in words is "twenty-eight thousand, six hundred thirty-five".