128106688 has 56 divisors (see below), whose sum is σ = 274502880. Its totient is φ = 59136000.

The previous prime is 128106593. The next prime is 128106703. The reversal of 128106688 is 886601821.

It is a super-2 number, since 2×128106688² = 32822647020658688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 128106688.

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, 41188 + ... + 44188.

Almost surely, 2^128106688 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 128106688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137251440).

128106688 is an abundant number, since it is smaller than the sum of its proper divisors (146396192).

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

128106688 is a wasteful number, since it uses less digits than its factorization.

128106688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 128106688 is about 11318.4225049253. The cubic root of 128106688 is about 504.1084003000.

The spelling of 128106688 in words is "one hundred twenty-eight million, one hundred six thousand, six hundred eighty-eight".