28380 has 48 divisors (see below), whose sum is σ = 88704. Its totient is φ = 6720.

The previous prime is 28351. The next prime is 28387. The reversal of 28380 is 8382.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28387) by changing a digit.

28380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639 + ... + 681.

It is an arithmetic number, because the mean of its divisors is an integer number (1848).

2²⁸³⁸⁰ is an apocalyptic number.

28380 is a gapful number since it is divisible by the number (20) 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 28380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44352).

28380 is an abundant number, since it is smaller than the sum of its proper divisors (60324).

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

28380 is a wasteful number, since it uses less digits than its factorization.

28380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 28380 is about 168.4636459299. The cubic root of 28380 is about 30.5026424298.

It can be divided in two parts, 283 and 80, that added together give a palindrome (363).

The spelling of 28380 in words is "twenty-eight thousand, three hundred eighty".