28112 has 20 divisors (see below), whose sum is σ = 62496. Its totient is φ = 12000.

The previous prime is 28111. The next prime is 28123. The reversal of 28112 is 21182.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14 + ... + 237.

2²⁸¹¹² is an apocalyptic number.

It is an amenable number.

28112 is an abundant number, since it is smaller than the sum of its proper divisors (34384).

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 (31248).

28112 is a wasteful number, since it uses less digits than its factorization.

28112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its digits is 32, while the sum is 14.

The square root of 28112 is about 167.6663353211. Note that the first 3 decimals coincide. The cubic root of 28112 is about 30.4063237076.

Adding to 28112 its reverse (21182), we get a palindrome (49294).

It can be divided in two parts, 28 and 112, that multiplied together give a square (3136 = 56²).

The spelling of 28112 in words is "twenty-eight thousand, one hundred twelve".