11328000 has 160 divisors (see below), whose sum is σ = 38301120. Its totient is φ = 2969600.

The previous prime is 11327977. The next prime is 11328017. The reversal of 11328000 is 82311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191971 + ... + 192029.

It is an arithmetic number, because the mean of its divisors is an integer number (239382).

Almost surely, 2^11328000 is an apocalyptic number.

11328000 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 11328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

11328000 is an abundant number, since it is smaller than the sum of its proper divisors (26973120).

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

11328000 is an frugal number, since it uses more digits than its factorization.

11328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11328000 is about 3365.7094348740. The cubic root of 11328000 is about 224.5868963201.

The spelling of 11328000 in words is "eleven million, three hundred twenty-eight thousand".