128088 has 32 divisors (see below), whose sum is σ = 356400. Its totient is φ = 42624.

The previous prime is 128053. The next prime is 128099. The reversal of 128088 is 880821.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 128088.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81 + ... + 512.

2¹²⁸⁰⁸⁸ is an apocalyptic number.

128088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178200).

128088 is an abundant number, since it is smaller than the sum of its proper divisors (228312).

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

128088 is a wasteful number, since it uses less digits than its factorization.

128088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 598 counting only the distinct ones).

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

The square root of 128088 is about 357.8938390082. The cubic root of 128088 is about 50.4083886264.

It can be divided in two parts, 12 and 8088, that added together give a square (8100 = 90²).

The spelling of 128088 in words is "one hundred twenty-eight thousand, eighty-eight".