889128 has 48 divisors (see below), whose sum is σ = 2464020. Its totient is φ = 289536.

The previous prime is 889123. The next prime is 889139. The reversal of 889128 is 821988.

It can be written as a sum of positive squares in 2 ways, for example, as 887364 + 1764 = 942^2 + 42^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 889092 and 889101.

It is not an unprimeable number, because it can be changed into a prime (889123) by changing a digit.

889128 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 11 ways as a sum of consecutive naturals, for example, 3700 + ... + 3932.

2⁸⁸⁹¹²⁸ 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 889128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232010).

889128 is an abundant number, since it is smaller than the sum of its proper divisors (1574892).

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

889128 is a wasteful number, since it uses less digits than its factorization.

889128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 291 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 889128 is about 942.9358408715. The cubic root of 889128 is about 96.1585920283.

It can be divided in two parts, 88 and 9128, that added together give a square (9216 = 96²).

The spelling of 889128 in words is "eight hundred eighty-nine thousand, one hundred twenty-eight".