11100009928 has 64 divisors (see below), whose sum is σ = 24634368000. Its totient is φ = 4590277440.

The previous prime is 11100009923. The next prime is 11100009929. The reversal of 11100009928 is 82990000111.

11100009928 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 11100009928.

It is not an unprimeable number, because it can be changed into a prime (11100009923) 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 15 ways as a sum of consecutive naturals, for example, 157173 + ... + 216571.

It is an arithmetic number, because the mean of its divisors is an integer number (384912000).

Almost surely, 2^11100009928 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 11100009928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12317184000).

11100009928 is an abundant number, since it is smaller than the sum of its proper divisors (13534358072).

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

11100009928 is a wasteful number, since it uses less digits than its factorization.

11100009928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59530 (or 59526 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 31.

The spelling of 11100009928 in words is "eleven billion, one hundred million, nine thousand, nine hundred twenty-eight".