28289 has 2 divisors, whose sum is σ = 28290. Its totient is φ = 28288.

The previous prime is 28283. The next prime is 28297. The reversal of 28289 is 98282.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27889 + 400 = 167^2 + 20^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-28289 is a prime.

It is a Chen prime.

It is a plaindrome in base 12.

It is a nialpdrome in base 13.

It is not a weakly prime, because it can be changed into another prime (28283) 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 as a sum of consecutive naturals, namely, 14144 + 14145.

It is an arithmetic number, because the mean of its divisors is an integer number (14145).

2²⁸²⁸⁹ is an apocalyptic number.

It is an amenable number.

28289 is a deficient number, since it is larger than the sum of its proper divisors (1).

28289 is an equidigital number, since it uses as much as digits as its factorization.

28289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 29.

The square root of 28289 is about 168.1933411286. The cubic root of 28289 is about 30.4700054490.

It can be divided in two parts, 2828 and 9, that multiplied together give a palindrome (25452).

The spelling of 28289 in words is "twenty-eight thousand, two hundred eighty-nine".