28560 has 80 divisors (see below), whose sum is σ = 107136. Its totient is φ = 6144.

The previous prime is 28559. The next prime is 28571. The reversal of 28560 is 6582.

It is a happy number.

28560 is nontrivially palindromic in base 13.

28560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 13⁴-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

28560 is a nontrivial repdigit in base 13.

It is a plaindrome in base 13.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1672 + ... + 1688.

2²⁸⁵⁶⁰ is an apocalyptic number.

28560 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 28560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568).

28560 is an abundant number, since it is smaller than the sum of its proper divisors (78576).

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

28560 is a wasteful number, since it uses less digits than its factorization.

28560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 28560 is about 168.9970413942. The cubic root of 28560 is about 30.5669941869.

The spelling of 28560 in words is "twenty-eight thousand, five hundred sixty".