88288 has 24 divisors (see below), whose sum is σ = 181440. Its totient is φ = 42240.

The previous prime is 88261. The next prime is 88289.

88288 is nontrivially palindromic in base 10.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88289) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 948 + ... + 1036.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁸⁸²⁸⁸ 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 88288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

88288 is an abundant number, since it is smaller than the sum of its proper divisors (93152).

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

88288 is a wasteful number, since it uses less digits than its factorization.

88288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its digits is 8192, while the sum is 34.

The square root of 88288 is about 297.1329668684. The cubic root of 88288 is about 44.5280721750.

It can be divided in two parts, 8828 and 8, that added together give a square (8836 = 94²).

The spelling of 88288 in words is "eighty-eight thousand, two hundred eighty-eight".