11328720 has 80 divisors (see below), whose sum is σ = 37830912. Its totient is φ = 2787840.

The previous prime is 11328701. The next prime is 11328743. The reversal of 11328720 is 2782311.

11328720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×11328720³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1305 + ... + 4935.

Almost surely, 2^11328720 is an apocalyptic number.

11328720 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 11328720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18915456).

11328720 is an abundant number, since it is smaller than the sum of its proper divisors (26502192).

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

11328720 is a wasteful number, since it uses less digits than its factorization.

11328720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 11328720 is about 3365.8163942794. The cubic root of 11328720 is about 224.5916544162.

The spelling of 11328720 in words is "eleven million, three hundred twenty-eight thousand, seven hundred twenty".