10973833728 has 320 divisors, whose sum is σ = 35109752832. Its totient is φ = 3001466880.

The previous prime is 10973833723. The next prime is 10973833753. The reversal of 10973833728 is 82733837901.

It is not an unprimeable number, because it can be changed into a prime (10973833723) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10322925 + ... + 10323987.

Almost surely, 2^10973833728 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 10973833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554876416).

10973833728 is an abundant number, since it is smaller than the sum of its proper divisors (24135919104).

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

10973833728 is a wasteful number, since it uses less digits than its factorization.

10973833728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

It can be divided in two parts, 109 and 73833728, that added together give a palindrome (73833837).

The spelling of 10973833728 in words is "ten billion, nine hundred seventy-three million, eight hundred thirty-three thousand, seven hundred twenty-eight".