11809728 has 168 divisors, whose sum is σ = 40416480. Its totient is φ = 3225600.

The previous prime is 11809727. The next prime is 11809751. The reversal of 11809728 is 82790811.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11809692 and 11809701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11809727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116878 + ... + 116978.

Almost surely, 2^11809728 is an apocalyptic number.

11809728 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 11809728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20208240).

11809728 is an abundant number, since it is smaller than the sum of its proper divisors (28606752).

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

11809728 is a wasteful number, since it uses less digits than its factorization.

11809728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 11809728 is about 3436.5284808946. The cubic root of 11809728 is about 227.7263568417.

The spelling of 11809728 in words is "eleven million, eight hundred nine thousand, seven hundred twenty-eight".