128028451442100 has 144 divisors (see below), whose sum is σ = 404222994072576. Its totient is φ = 31028087792000.

The previous prime is 128028451442093. The next prime is 128028451442147. The reversal of 128028451442100 is 1244154820821.

128028451442100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 5549455 + ... + 16936745.

It is an arithmetic number, because the mean of its divisors is an integer number (2807104125504).

Almost surely, 2^{128028451442100} is an apocalyptic number.

128028451442100 is a gapful number since it is divisible by the number (10) 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 128028451442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202111497036288).

128028451442100 is an abundant number, since it is smaller than the sum of its proper divisors (276194542630476).

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

128028451442100 is a wasteful number, since it uses less digits than its factorization.

128028451442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11390726 (or 11390719 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The spelling of 128028451442100 in words is "one hundred twenty-eight trillion, twenty-eight billion, four hundred fifty-one million, four hundred forty-two thousand, one hundred".