28633 has 8 divisors (see below), whose sum is σ = 33120. Its totient is φ = 24480.

The previous prime is 28631. The next prime is 28643. The reversal of 28633 is 33682.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 28633 - 2¹ = 28631 is a prime.

It is a Duffinian number.

28633 is a lucky number.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141 + ... + 277.

It is an arithmetic number, because the mean of its divisors is an integer number (4140).

2²⁸⁶³³ is an apocalyptic number.

It is an amenable number.

28633 is a deficient number, since it is larger than the sum of its proper divisors (4487).

28633 is a wasteful number, since it uses less digits than its factorization.

28633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167.

The product of its digits is 864, while the sum is 22.

The square root of 28633 is about 169.2128836702. The cubic root of 28633 is about 30.5930153366.

Multiplying 28633 by its sum of digits (22), we get a palindrome (629926).

The spelling of 28633 in words is "twenty-eight thousand, six hundred thirty-three".