128386688 has 32 divisors (see below), whose sum is σ = 257145060. Its totient is φ = 63848448.

The previous prime is 128386649. The next prime is 128386697. The reversal of 128386688 is 886683821.

It can be written as a sum of positive squares in 2 ways, for example, as 125260864 + 3125824 = 11192^2 + 1768^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 22106 + ... + 27302.

Almost surely, 2^128386688 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 128386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128572530).

128386688 is an abundant number, since it is smaller than the sum of its proper divisors (128758372).

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

128386688 is an equidigital number, since it uses as much as digits as its factorization.

128386688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404 (or 5392 counting only the distinct ones).

The product of its digits is 884736, while the sum is 50.

The square root of 128386688 is about 11330.7849683947. The cubic root of 128386688 is about 504.4754059642.

The spelling of 128386688 in words is "one hundred twenty-eight million, three hundred eighty-six thousand, six hundred eighty-eight".