28544 has 16 divisors (see below), whose sum is σ = 57120. Its totient is φ = 14208.

The previous prime is 28541. The next prime is 28547. The reversal of 28544 is 44582.

It is an interprime number because it is at equal distance from previous prime (28541) and next prime (28547).

It is a tau number, because it is divible by the number of its divisors (16).

28544 is an admirable number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28544.

It is not an unprimeable number, because it can be changed into a prime (28541) 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, 17 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (3570).

2²⁸⁵⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28560).

28544 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

28544 is an equidigital number, since it uses as much as digits as its factorization.

28544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its digits is 1280, while the sum is 23.

The square root of 28544 is about 168.9496966555. The cubic root of 28544 is about 30.5612849985.

The spelling of 28544 in words is "twenty-eight thousand, five hundred forty-four".