128585088 has 144 divisors (see below), whose sum is σ = 388637340. Its totient is φ = 40803840.

The previous prime is 128585081. The next prime is 128585099. The reversal of 128585088 is 880585821.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128585081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 609303 + ... + 609513.

Almost surely, 2^128585088 is an apocalyptic number.

128585088 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 128585088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194318670).

128585088 is an abundant number, since it is smaller than the sum of its proper divisors (260052252).

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

128585088 is a wasteful number, since it uses less digits than its factorization.

128585088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The square root of 128585088 is about 11339.5364984641. The cubic root of 128585088 is about 504.7351328096.

The spelling of 128585088 in words is "one hundred twenty-eight million, five hundred eighty-five thousand, eighty-eight".