11305728 has 108 divisors (see below), whose sum is σ = 37307088. Its totient is φ = 3225600.

The previous prime is 11305717. The next prime is 11305739. The reversal of 11305728 is 82750311.

It is an interprime number because it is at equal distance from previous prime (11305717) and next prime (11305739).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15778 + ... + 16478.

It is an arithmetic number, because the mean of its divisors is an integer number (345436).

Almost surely, 2^11305728 is an apocalyptic number.

11305728 is a gapful number since it is divisible by the number (18) 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 11305728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18653544).

11305728 is an abundant number, since it is smaller than the sum of its proper divisors (26001360).

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

11305728 is an equidigital number, since it uses as much as digits as its factorization.

11305728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 11305728 is about 3362.3991434688. The cubic root of 11305728 is about 224.4396128606.

The spelling of 11305728 in words is "eleven million, three hundred five thousand, seven hundred twenty-eight".