128528 has 20 divisors (see below), whose sum is σ = 258540. Its totient is φ = 61824.

The previous prime is 128521. The next prime is 128549. The reversal of 128528 is 825821.

It can be written as a sum of positive squares in 2 ways, for example, as 43264 + 85264 = 208^2 + 292^2 .

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 128497 and 128506.

It is not an unprimeable number, because it can be changed into a prime (128521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 326 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (12927).

2¹²⁸⁵²⁸ 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 128528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129270).

128528 is an abundant number, since it is smaller than the sum of its proper divisors (130012).

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

128528 is a wasteful number, since it uses less digits than its factorization.

128528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its digits is 1280, while the sum is 26.

The square root of 128528 is about 358.5080194361. The cubic root of 128528 is about 50.4660425898.

It can be divided in two parts, 128 and 528, that added together give a palindrome (656).

The spelling of 128528 in words is "one hundred twenty-eight thousand, five hundred twenty-eight".