11386728 has 48 divisors (see below), whose sum is σ = 31056480. Its totient is φ = 3768864.

The previous prime is 11386723. The next prime is 11386747. The reversal of 11386728 is 82768311.

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

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 11386692 and 11386701.

It is not an unprimeable number, because it can be changed into a prime (11386723) 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, 11551 + ... + 12497.

It is an arithmetic number, because the mean of its divisors is an integer number (647010).

Almost surely, 2^11386728 is an apocalyptic number.

11386728 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 11386728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528240).

11386728 is an abundant number, since it is smaller than the sum of its proper divisors (19669752).

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

11386728 is a wasteful number, since it uses less digits than its factorization.

11386728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1119 counting only the distinct ones).

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

The square root of 11386728 is about 3374.4226172784. The cubic root of 11386728 is about 224.9743378140.

The spelling of 11386728 in words is "eleven million, three hundred eighty-six thousand, seven hundred twenty-eight".