11028882672 has 80 divisors (see below), whose sum is σ = 31817918880. Its totient is φ = 3657604608.

The previous prime is 11028882653. The next prime is 11028882673. The reversal of 11028882672 is 27628882011.

It is a happy number.

11028882672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11028882673) 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, 20308 + ... + 149900.

It is an arithmetic number, because the mean of its divisors is an integer number (397723986).

Almost surely, 2^11028882672 is an apocalyptic number.

11028882672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11028882672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15908959440).

11028882672 is an abundant number, since it is smaller than the sum of its proper divisors (20789036208).

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

11028882672 is a wasteful number, since it uses less digits than its factorization.

11028882672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129807 (or 129795 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 11028882672 in words is "eleven billion, twenty-eight million, eight hundred eighty-two thousand, six hundred seventy-two".