128585808 has 120 divisors (see below), whose sum is σ = 390990600. Its totient is φ = 39214080.

The previous prime is 128585789. The next prime is 128585869. The reversal of 128585808 is 808585821.

128585808 is a `hidden beast` number, since 12 + 8 + 58 + 580 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1617984 + 126967824 = 1272^2 + 11268^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278698 + ... + 279158.

It is an arithmetic number, because the mean of its divisors is an integer number (3258255).

Almost surely, 2^128585808 is an apocalyptic number.

128585808 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 128585808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195495300).

128585808 is an abundant number, since it is smaller than the sum of its proper divisors (262404792).

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

128585808 is a wasteful number, since it uses less digits than its factorization.

128585808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 628 counting only the distinct ones).

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

The square root of 128585808 is about 11339.5682457490. The cubic root of 128585808 is about 504.7360748800.

The spelling of 128585808 in words is "one hundred twenty-eight million, five hundred eighty-five thousand, eight hundred eight".