128108928 has 128 divisors (see below), whose sum is σ = 356428800. Its totient is φ = 40734720.

The previous prime is 128108927. The next prime is 128108971. The reversal of 128108928 is 829801821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128108927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1243725 + ... + 1243827.

It is an arithmetic number, because the mean of its divisors is an integer number (2784600).

Almost surely, 2^128108928 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 128108928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178214400).

128108928 is an abundant number, since it is smaller than the sum of its proper divisors (228319872).

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

128108928 is a wasteful number, since it uses less digits than its factorization.

128108928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 128108928 is about 11318.5214582118. The cubic root of 128108928 is about 504.1113384662. Note that the first 3 decimals are identical.

The spelling of 128108928 in words is "one hundred twenty-eight million, one hundred eight thousand, nine hundred twenty-eight".