11328800 has 162 divisors, whose sum is σ = 34175547. Its totient is φ = 3655680.

The previous prime is 11328799. The next prime is 11328809. The reversal of 11328800 is 882311.

11328800 = T₄₃₁ + T₄₃₂ + ... + T₅₂₈.

11328800 = 141² + 142² + ... + 332².

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11328800 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 5 ways, for example, as 7376656 + 3952144 = 2716^2 + 1988^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2380.

It is not an unprimeable number, because it can be changed into a prime (11328809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 666392 + ... + 666408.

Almost surely, 2^11328800 is an apocalyptic number.

11328800 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 11328800

11328800 is an abundant number, since it is smaller than the sum of its proper divisors (22846747).

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

11328800 is a wasteful number, since it uses less digits than its factorization.

11328800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 11328800 is about 3365.8282784480. The cubic root of 11328800 is about 224.5921830811.

The spelling of 11328800 in words is "eleven million, three hundred twenty-eight thousand, eight hundred".