10824928128 has 160 divisors (see below), whose sum is σ = 36817173360. Its totient is φ = 3092815872.

The previous prime is 10824928123. The next prime is 10824928129. The reversal of 10824928128 is 82182942801.

10824928128 is a `hidden beast` number, since 1 + 0 + 82 + 492 + 81 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10824928123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2001 + ... + 147152.

Almost surely, 2^10824928128 is an apocalyptic number.

10824928128 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 10824928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18408586680).

10824928128 is an abundant number, since it is smaller than the sum of its proper divisors (25992245232).

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

10824928128 is an equidigital number, since it uses as much as digits as its factorization.

10824928128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149186 (or 149165 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 10824928128 in words is "ten billion, eight hundred twenty-four million, nine hundred twenty-eight thousand, one hundred twenty-eight".