28033 has 6 divisors (see below), whose sum is σ = 30086. Its totient is φ = 26112.

The previous prime is 28031. The next prime is 28051. The reversal of 28033 is 33082.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10609 + 17424 = 103^2 + 132^2 .

It is not a de Polignac number, because 28033 - 2¹ = 28031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27998 and 28016.

It is not an unprimeable number, because it can be changed into a prime (28031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 241 + ... + 337.

2²⁸⁰³³ is an apocalyptic number.

28033 is the 97-th octagonal number.

It is an amenable number.

28033 is a deficient number, since it is larger than the sum of its proper divisors (2053).

28033 is an equidigital number, since it uses as much as digits as its factorization.

28033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 28033 is about 167.4305826305. The cubic root of 28033 is about 30.3778144919.

Subtracting from 28033 its product of nonzero digits (144), we obtain a square (27889 = 167²).

It can be divided in two parts, 280 and 33, that added together give a palindrome (313).

The spelling of 28033 in words is "twenty-eight thousand, thirty-three".