11741728 has 48 divisors (see below), whose sum is σ = 24361344. Its totient is φ = 5564160.

The previous prime is 11741711. The next prime is 11741729. The reversal of 11741728 is 82714711.

It is a self number, because there is not a number n which added to its sum of digits gives 11741728.

It is not an unprimeable number, because it can be changed into a prime (11741729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55543 + ... + 55753.

It is an arithmetic number, because the mean of its divisors is an integer number (507528).

Almost surely, 2^11741728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11741728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12180672).

11741728 is an abundant number, since it is smaller than the sum of its proper divisors (12619616).

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

11741728 is a wasteful number, since it uses less digits than its factorization.

11741728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its digits is 3136, while the sum is 31.

The square root of 11741728 is about 3426.6204925553. The cubic root of 11741728 is about 227.2884351228.

The spelling of 11741728 in words is "eleven million, seven hundred forty-one thousand, seven hundred twenty-eight".