28590 has 16 divisors (see below), whose sum is σ = 68688. Its totient is φ = 7616.

The previous prime is 28579. The next prime is 28591. The reversal of 28590 is 9582.

28590 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a plaindrome in base 12.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 28590.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28591) by changing a digit.

28590 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 447 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (4293).

2²⁸⁵⁹⁰ is an apocalyptic number.

28590 is an abundant number, since it is smaller than the sum of its proper divisors (40098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34344).

28590 is a wasteful number, since it uses less digits than its factorization.

28590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 28590 is about 169.0857770482. The cubic root of 28590 is about 30.5776931707.

The spelling of 28590 in words is "twenty-eight thousand, five hundred ninety".