11007703728 has 120 divisors (see below), whose sum is σ = 37278247968. Its totient is φ = 2960050176.

The previous prime is 11007703723. The next prime is 11007703741. The reversal of 11007703728 is 82730770011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11007703692 and 11007703701.

It is not an unprimeable number, because it can be changed into a prime (11007703723) 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 23 ways as a sum of consecutive naturals, for example, 304051 + ... + 338322.

Almost surely, 2^11007703728 is an apocalyptic number.

11007703728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11007703728 is an abundant number, since it is smaller than the sum of its proper divisors (26270544240).

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

11007703728 is a wasteful number, since it uses less digits than its factorization.

11007703728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642411 (or 642402 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 11007703728 in words is "eleven billion, seven million, seven hundred three thousand, seven hundred twenty-eight".