10036728128 has 112 divisors (see below), whose sum is σ = 23327587584. Its totient is φ = 4195860480.

The previous prime is 10036728071. The next prime is 10036728157. The reversal of 10036728128 is 82182763001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 10036728091 and 10036728100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3083750 + ... + 3087002.

It is an arithmetic number, because the mean of its divisors is an integer number (208282032).

Almost surely, 2^10036728128 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 10036728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11663793792).

10036728128 is an abundant number, since it is smaller than the sum of its proper divisors (13290859456).

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

10036728128 is an equidigital number, since it uses as much as digits as its factorization.

10036728128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 10036728128 in words is "ten billion, thirty-six million, seven hundred twenty-eight thousand, one hundred twenty-eight".