128816688 has 240 divisors, whose sum is σ = 455970816. Its totient is φ = 30804480.

The previous prime is 128816671. The next prime is 128816693. The reversal of 128816688 is 886618821.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336145 + ... + 336527.

Almost surely, 2^128816688 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 128816688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227985408).

128816688 is an abundant number, since it is smaller than the sum of its proper divisors (327154128).

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

128816688 is a wasteful number, since it uses less digits than its factorization.

128816688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 419 counting only the distinct ones).

The product of its digits is 294912, while the sum is 48.

The square root of 128816688 is about 11349.7439618698. The cubic root of 128816688 is about 505.0379842683.

The spelling of 128816688 in words is "one hundred twenty-eight million, eight hundred sixteen thousand, six hundred eighty-eight".