28160 has 40 divisors (see below), whose sum is σ = 73656. Its totient is φ = 10240.

The previous prime is 28151. The next prime is 28163. The reversal of 28160 is 6182.

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28160.

It is not an unprimeable number, because it can be changed into a prime (28163) by changing a digit.

28160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2555 + ... + 2565.

2²⁸¹⁶⁰ is an apocalyptic number.

28160 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 28160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36828).

28160 is an abundant number, since it is smaller than the sum of its proper divisors (45496).

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

28160 is an equidigital number, since it uses as much as digits as its factorization.

28160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 28160 is about 167.8094157072. The cubic root of 28160 is about 30.4236196861.

The spelling of 28160 in words is "twenty-eight thousand, one hundred sixty".