28644 has 48 divisors (see below), whose sum is σ = 86016. Its totient is φ = 7200.

The previous prime is 28643. The next prime is 28649. The reversal of 28644 is 44682.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28644.

It is not an unprimeable number, because it can be changed into a prime (28643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909 + ... + 939.

It is an arithmetic number, because the mean of its divisors is an integer number (1792).

2²⁸⁶⁴⁴ 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 28644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43008).

28644 is an abundant number, since it is smaller than the sum of its proper divisors (57372).

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

28644 is a wasteful number, since it uses less digits than its factorization.

28644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 54 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 28644 is about 169.2453839843. The cubic root of 28644 is about 30.5969324961.

It can be divided in two parts, 2 and 8644, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 28644 in words is "twenty-eight thousand, six hundred forty-four".