11836728 has 48 divisors (see below), whose sum is σ = 32479200. Its totient is φ = 3893760.

The previous prime is 11836723. The next prime is 11836729. The reversal of 11836728 is 82763811.

11836728 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 11836692 and 11836701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11836723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4648 + ... + 6728.

It is an arithmetic number, because the mean of its divisors is an integer number (676650).

Almost surely, 2^11836728 is an apocalyptic number.

11836728 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 11836728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16239600).

11836728 is an abundant number, since it is smaller than the sum of its proper divisors (20642472).

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

11836728 is a wasteful number, since it uses less digits than its factorization.

11836728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2165 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 11836728 is about 3440.4546211220. The cubic root of 11836728 is about 227.8997712737.

The spelling of 11836728 in words is "eleven million, eight hundred thirty-six thousand, seven hundred twenty-eight".