11493080928 has 360 divisors, whose sum is σ = 41640058152. Its totient is φ = 3089995776.

The previous prime is 11493080891. The next prime is 11493080941. The reversal of 11493080928 is 82908039411.

11493080928 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 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 59 ways as a sum of consecutive naturals, for example, 2156475 + ... + 2161797.

Almost surely, 2^11493080928 is an apocalyptic number.

11493080928 is a gapful number since it is divisible by the number (18) 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 11493080928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20820029076).

11493080928 is an abundant number, since it is smaller than the sum of its proper divisors (30146977224).

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

11493080928 is a wasteful number, since it uses less digits than its factorization.

11493080928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11493080928 in words is "eleven billion, four hundred ninety-three million, eighty thousand, nine hundred twenty-eight".