28884 has 24 divisors (see below), whose sum is σ = 70560. Its totient is φ = 9184.

The previous prime is 28879. The next prime is 28901. The reversal of 28884 is 48882.

It is a super-3 number, since 3×28884³ = 72292503333312, which contains 333 as substring.

It is a nialpdrome in base 14.

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 28884.

It is an unprimeable number.

28884 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

2²⁸⁸⁸⁴ 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 28884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280).

28884 is an abundant number, since it is smaller than the sum of its proper divisors (41676).

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

28884 is a wasteful number, since it uses less digits than its factorization.

28884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 117 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 28884 is about 169.9529346613. The cubic root of 28884 is about 30.6821492919.

The spelling of 28884 in words is "twenty-eight thousand, eight hundred eighty-four".