28620 has 48 divisors (see below), whose sum is σ = 90720. Its totient is φ = 7488.

The previous prime is 28619. The next prime is 28621. The reversal of 28620 is 2682.

It is an interprime number because it is at equal distance from previous prime (28619) and next prime (28621).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 28593 and 28602.

It is not an unprimeable number, because it can be changed into a prime (28621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514 + ... + 566.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

2²⁸⁶²⁰ is an apocalyptic number.

28620 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 28620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

28620 is an abundant number, since it is smaller than the sum of its proper divisors (62100).

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

28620 is a wasteful number, since it uses less digits than its factorization.

28620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 28620 is about 169.1744661585. The cubic root of 28620 is about 30.5883846727.

The spelling of 28620 in words is "twenty-eight thousand, six hundred twenty".