11304417728 has 56 divisors (see below), whose sum is σ = 22795412880. Its totient is φ = 5561395200.

The previous prime is 11304417673. The next prime is 11304417763. The reversal of 11304417728 is 82771440311.

It is a super-3 number, since 3×11304417728³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11304417691 and 11304417700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1048268 + ... + 1058996.

Almost surely, 2^11304417728 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 11304417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11397706440).

11304417728 is an abundant number, since it is smaller than the sum of its proper divisors (11490995152).

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

11304417728 is a wasteful number, since it uses less digits than its factorization.

11304417728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11005 (or 10995 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The spelling of 11304417728 in words is "eleven billion, three hundred four million, four hundred seventeen thousand, seven hundred twenty-eight".