128425750741728 has 432 divisors, whose sum is σ = 424133951963904. Its totient is φ = 36549111582720.

The previous prime is 128425750741727. The next prime is 128425750741753. The reversal of 128425750741728 is 827147057524821.

128425750741728 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 2 + 57 + 507 + 4 + 1 + 72 + 8 = 666.

128425750741728 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 not an unprimeable number, because it can be changed into a prime (128425750741727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 427412601 + ... + 427712967.

It is an arithmetic number, because the mean of its divisors is an integer number (981791555472).

Almost surely, 2^{128425750741728} is an apocalyptic number.

128425750741728 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 128425750741728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212066975981952).

128425750741728 is an abundant number, since it is smaller than the sum of its proper divisors (295708201222176).

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

128425750741728 is a wasteful number, since it uses less digits than its factorization.

128425750741728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300895 (or 300867 counting only the distinct ones).

The product of its (nonzero) digits is 70246400, while the sum is 63.

The spelling of 128425750741728 in words is "one hundred twenty-eight trillion, four hundred twenty-five billion, seven hundred fifty million, seven hundred forty-one thousand, seven hundred twenty-eight".