28288 has 32 divisors (see below), whose sum is σ = 64260. Its totient is φ = 12288.

The previous prime is 28283. The next prime is 28289. The reversal of 28288 is 88282.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 64 = 168^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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

Its product of digits (2048) is a multiple of the sum of its prime divisors (32).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28283) by changing a digit.

28288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1656 + ... + 1672.

2²⁸²⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32130).

28288 is an abundant number, since it is smaller than the sum of its proper divisors (35972).

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

28288 is a wasteful number, since it uses less digits than its factorization.

28288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 32 counting only the distinct ones).

The product of its digits is 2048, while the sum is 28.

The square root of 28288 is about 168.1903683330. The cubic root of 28288 is about 30.4696464124.

The spelling of 28288 in words is "twenty-eight thousand, two hundred eighty-eight".