11328600 has 96 divisors (see below), whose sum is σ = 35712000. Its totient is φ = 2970240.

The previous prime is 11328593. The next prime is 11328631. The reversal of 11328600 is 682311.

11328600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47281 + ... + 47519.

It is an arithmetic number, because the mean of its divisors is an integer number (372000).

Almost surely, 2^11328600 is an apocalyptic number.

11328600 is a gapful number since it is divisible by the number (10) 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 11328600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

11328600 is an abundant number, since it is smaller than the sum of its proper divisors (24383400).

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

11328600 is a wasteful number, since it uses less digits than its factorization.

11328600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11328600 is about 3365.7985679479. The cubic root of 11328600 is about 224.5908614142.

The spelling of 11328600 in words is "eleven million, three hundred twenty-eight thousand, six hundred".