10828824128 has 112 divisors (see below), whose sum is σ = 23180040000. Its totient is φ = 5003716608.

The previous prime is 10828824113. The next prime is 10828824133. The reversal of 10828824128 is 82142882801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10689350 + ... + 10690362.

Almost surely, 2^10828824128 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 10828824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11590020000).

10828824128 is an abundant number, since it is smaller than the sum of its proper divisors (12351215872).

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

10828824128 is a wasteful number, since it uses less digits than its factorization.

10828824128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 44.

The spelling of 10828824128 in words is "ten billion, eight hundred twenty-eight million, eight hundred twenty-four thousand, one hundred twenty-eight".