88128 has 70 divisors (see below), whose sum is σ = 276606. Its totient is φ = 27648.

The previous prime is 88117. The next prime is 88129. The reversal of 88128 is 82188.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 5184 = 288^2 + 72^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88128.

It is not an unprimeable number, because it can be changed into a prime (88129) by changing a digit.

88128 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 9 ways as a sum of consecutive naturals, for example, 5176 + ... + 5192.

2⁸⁸¹²⁸ 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 88128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138303).

88128 is an abundant number, since it is smaller than the sum of its proper divisors (188478).

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

88128 is a wasteful number, since it uses less digits than its factorization.

88128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 22 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 88128 is about 296.8636050445. The cubic root of 88128 is about 44.5011572312.

It can be divided in two parts, 881 and 28, that added together give a palindrome (909).

The spelling of 88128 in words is "eighty-eight thousand, one hundred twenty-eight".