128688 has 40 divisors (see below), whose sum is σ = 380928. Its totient is φ = 36672.

The previous prime is 128683. The next prime is 128693. The reversal of 128688 is 886821.

It is an interprime number because it is at equal distance from previous prime (128683) and next prime (128693).

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

It is not an unprimeable number, because it can be changed into a prime (128683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145 + ... + 527.

2¹²⁸⁶⁸⁸ 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 128688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190464).

128688 is an abundant number, since it is smaller than the sum of its proper divisors (252240).

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

128688 is a wasteful number, since it uses less digits than its factorization.

128688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 128688 is about 358.7310970630. The cubic root of 128688 is about 50.4869750417.

The spelling of 128688 in words is "one hundred twenty-eight thousand, six hundred eighty-eight".