10921609728 has 280 divisors, whose sum is σ = 33879611700. Its totient is φ = 3511517184.

The previous prime is 10921609703. The next prime is 10921609747. The reversal of 10921609728 is 82790612901.

10921609728 is a `hidden beast` number, since 10 + 9 + 2 + 1 + 609 + 7 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10839308544 + 82301184 = 104112^2 + 9072^2 .

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 27 ways as a sum of consecutive naturals, for example, 10823688 + ... + 10824696.

Almost surely, 2^10921609728 is an apocalyptic number.

10921609728 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 10921609728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16939805850).

10921609728 is an abundant number, since it is smaller than the sum of its proper divisors (22958001972).

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

10921609728 is an frugal number, since it uses more digits than its factorization.

10921609728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 10921609728 in words is "ten billion, nine hundred twenty-one million, six hundred nine thousand, seven hundred twenty-eight".