11583936728 has 48 divisors (see below), whose sum is σ = 27209533680. Its totient is φ = 4582654272.

The previous prime is 11583936703. The next prime is 11583936757. The reversal of 11583936728 is 82763938511.

11583936728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11583936728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1131476 + ... + 1141667.

It is an arithmetic number, because the mean of its divisors is an integer number (566865285).

Almost surely, 2^11583936728 is an apocalyptic number.

It is an amenable number.

11583936728 is an abundant number, since it is smaller than the sum of its proper divisors (15625596952).

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

11583936728 is a wasteful number, since it uses less digits than its factorization.

11583936728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273176 (or 2273165 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 53.

The spelling of 11583936728 in words is "eleven billion, five hundred eighty-three million, nine hundred thirty-six thousand, seven hundred twenty-eight".