28170 has 24 divisors (see below), whose sum is σ = 73476. Its totient is φ = 7488.

The previous prime is 28163. The next prime is 28181. The reversal of 28170 is 7182.

It can be written as a sum of positive squares in 2 ways, for example, as 23409 + 4761 = 153^2 + 69^2 .

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 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 11 ways as a sum of consecutive naturals, for example, 67 + ... + 246.

2²⁸¹⁷⁰ is an apocalyptic number.

28170 is an abundant number, since it is smaller than the sum of its proper divisors (45306).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36738).

28170 is a wasteful number, since it uses less digits than its factorization.

28170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 28170 is about 167.8392087684. The cubic root of 28170 is about 30.4272205406.

Adding to 28170 its product of nonzero digits (112), we get a palindrome (28282).

It can be divided in two parts, 281 and 70, that added together give a triangular number (351 = T₂₆).

The spelling of 28170 in words is "twenty-eight thousand, one hundred seventy".