128528633856 has 312 divisors, whose sum is σ = 416029932864. Its totient is φ = 35122053120.

The previous prime is 128528633837. The next prime is 128528633867. The reversal of 128528633856 is 658336825821.

It is a junction number, because it is equal to n+sod(n) for n = 128528633796 and 128528633805.

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 23 ways as a sum of consecutive naturals, for example, 13843936 + ... + 13853216.

It is an arithmetic number, because the mean of its divisors is an integer number (1333429272).

Almost surely, 2^128528633856 is an apocalyptic number.

128528633856 is a gapful number since it is divisible by the number (16) 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 128528633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208014966432).

128528633856 is an abundant number, since it is smaller than the sum of its proper divisors (287501299008).

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

128528633856 is an equidigital number, since it uses as much as digits as its factorization.

128528633856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9345 (or 9316 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 57.

The spelling of 128528633856 in words is "one hundred twenty-eight billion, five hundred twenty-eight million, six hundred thirty-three thousand, eight hundred fifty-six".