11746728 has 128 divisors (see below), whose sum is σ = 39571200. Its totient is φ = 3151872.

The previous prime is 11746727. The next prime is 11746753. The reversal of 11746728 is 82764711.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11746692 and 11746701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11746727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25476 + ... + 25932.

It is an arithmetic number, because the mean of its divisors is an integer number (309150).

Almost surely, 2^11746728 is an apocalyptic number.

11746728 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 11746728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19785600).

11746728 is an abundant number, since it is smaller than the sum of its proper divisors (27824472).

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

11746728 is a wasteful number, since it uses less digits than its factorization.

11746728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 486 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 11746728 is about 3427.3499967176. The cubic root of 11746728 is about 227.3206927514.

The spelling of 11746728 in words is "eleven million, seven hundred forty-six thousand, seven hundred twenty-eight".