128807497728 has 416 divisors, whose sum is σ = 469704704000. Its totient is φ = 33968553984.

The previous prime is 128807497717. The next prime is 128807497733. The reversal of 128807497728 is 827794708821.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10057473 + ... + 10070271.

Almost surely, 2^128807497728 is an apocalyptic number.

128807497728 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 128807497728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234852352000).

128807497728 is an abundant number, since it is smaller than the sum of its proper divisors (340897206272).

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

128807497728 is a wasteful number, since it uses less digits than its factorization.

128807497728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12852 (or 12824 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 128807497728 in words is "one hundred twenty-eight billion, eight hundred seven million, four hundred ninety-seven thousand, seven hundred twenty-eight".