128806128 has 120 divisors (see below), whose sum is σ = 396068400. Its totient is φ = 38753280.

The previous prime is 128806109. The next prime is 128806129. The reversal of 128806128 is 821608821.

It is a super-2 number, since 2×128806128² = 33182037220704768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 128806092 and 128806101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128806129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368898 + ... + 369246.

It is an arithmetic number, because the mean of its divisors is an integer number (3300570).

Almost surely, 2^128806128 is an apocalyptic number.

128806128 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 128806128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198034200).

128806128 is an abundant number, since it is smaller than the sum of its proper divisors (267262272).

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

128806128 is a wasteful number, since it uses less digits than its factorization.

128806128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 128806128 is about 11349.2787436030. The cubic root of 128806128 is about 505.0241833990.

The spelling of 128806128 in words is "one hundred twenty-eight million, eight hundred six thousand, one hundred twenty-eight".