28680 has 32 divisors (see below), whose sum is σ = 86400. Its totient is φ = 7616.

The previous prime is 28669. The next prime is 28687. The reversal of 28680 is 8682.

28680 is a nontrivial binomial coefficient, being equal to C(240, 2).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 28680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28687) by changing a digit.

28680 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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2²⁸⁶⁸⁰ is an apocalyptic number.

28680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28680 is the 239-th triangular number and also the 120-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200).

28680 is an abundant number, since it is smaller than the sum of its proper divisors (57720).

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

28680 is a wasteful number, since it uses less digits than its factorization.

28680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 28680 is about 169.3517050401. The cubic root of 28680 is about 30.6097452834.

The spelling of 28680 in words is "twenty-eight thousand, six hundred eighty".