28980 has 72 divisors (see below), whose sum is σ = 104832. Its totient is φ = 6336.

The previous prime is 28979. The next prime is 29009. The reversal of 28980 is 8982.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 1249 + ... + 1271.

It is an arithmetic number, because the mean of its divisors is an integer number (1456).

2²⁸⁹⁸⁰ is an apocalyptic number.

28980 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 28980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52416).

28980 is an abundant number, since it is smaller than the sum of its proper divisors (75852).

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

28980 is a wasteful number, since it uses less digits than its factorization.

28980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 28980 is about 170.2351315093. The cubic root of 28980 is about 30.7161038353.

The spelling of 28980 in words is "twenty-eight thousand, nine hundred eighty".