11309645728 has 48 divisors (see below), whose sum is σ = 23448640320. Its totient is φ = 5354712576.

The previous prime is 11309645723. The next prime is 11309645741. The reversal of 11309645728 is 82754690311.

11309645728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11309645723) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2474101 + ... + 2478667.

It is an arithmetic number, because the mean of its divisors is an integer number (488513340).

It is a 1-persistent number, because it is pandigital, but 2⋅11309645728 = 22619291456 is not.

Almost surely, 2^11309645728 is an apocalyptic number.

It is an amenable number.

11309645728 is an abundant number, since it is smaller than the sum of its proper divisors (12138994592).

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

11309645728 is a wasteful number, since it uses less digits than its factorization.

11309645728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8669 (or 8661 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 11309645728 in words is "eleven billion, three hundred nine million, six hundred forty-five thousand, seven hundred twenty-eight".