89128 has 16 divisors (see below), whose sum is σ = 180180. Its totient is φ = 41088.

The previous prime is 89123. The next prime is 89137. The reversal of 89128 is 82198.

It can be written as a sum of positive squares in 2 ways, for example, as 88804 + 324 = 298^2 + 18^2 .

It is a junction number, because it is equal to n+sod(n) for n = 89096 and 89105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89123) 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, 325 + ... + 532.

2⁸⁹¹²⁸ is an apocalyptic number.

It is an amenable number.

89128 is an abundant number, since it is smaller than the sum of its proper divisors (91052).

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 (90090).

89128 is a wasteful number, since it uses less digits than its factorization.

89128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 872 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The square root of 89128 is about 298.5431292125. The cubic root of 89128 is about 44.6688447244.

It can be divided in two parts, 891 and 28, that added together give a palindrome (919).

The spelling of 89128 in words is "eighty-nine thousand, one hundred twenty-eight".