45288 has 48 divisors (see below), whose sum is σ = 133380. Its totient is φ = 13824.

The previous prime is 45281. The next prime is 45289. The reversal of 45288 is 88254.

It can be written as a sum of positive squares in 2 ways, for example, as 39204 + 6084 = 198^2 + 78^2 .

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (45281) by changing a digit.

45288 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1206 + ... + 1242.

2⁴⁵²⁸⁸ 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 45288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66690).

45288 is an abundant number, since it is smaller than the sum of its proper divisors (88092).

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

45288 is a wasteful number, since it uses less digits than its factorization.

45288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 59 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 45288 is about 212.8097742116. The cubic root of 45288 is about 35.6446521304.

It can be divided in two parts, 45 and 288, that added together give a palindrome (333).

The spelling of 45288 in words is "forty-five thousand, two hundred eighty-eight".