28944 has 40 divisors (see below), whose sum is σ = 84320. Its totient is φ = 9504.

The previous prime is 28933. The next prime is 28949. The reversal of 28944 is 44982.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2304) is a multiple of the sum of its prime divisors (72).

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a zygodrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28944.

It is not an unprimeable number, because it can be changed into a prime (28949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (2108).

2²⁸⁹⁴⁴ is an apocalyptic number.

28944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42160).

28944 is an abundant number, since it is smaller than the sum of its proper divisors (55376).

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

28944 is a wasteful number, since it uses less digits than its factorization.

28944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 72 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 28944 is about 170.1293625451. The cubic root of 28944 is about 30.7033796815.

It can be divided in two parts, 289 and 44, that added together give a palindrome (333).

The spelling of 28944 in words is "twenty-eight thousand, nine hundred forty-four".