1328766444 has 120 divisors (see below), whose sum is σ = 3871874160. Its totient is φ = 394896384.

The previous prime is 1328766433. The next prime is 1328766449. The reversal of 1328766444 is 4446678231.

1328766444 is a `hidden beast` number, since 132 + 8 + 76 + 6 + 444 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1328766444.

It is not an unprimeable number, because it can be changed into a prime (1328766449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98304 + ... + 111000.

It is an arithmetic number, because the mean of its divisors is an integer number (32265618).

Almost surely, 2^1328766444 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 1328766444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935937080).

1328766444 is an abundant number, since it is smaller than the sum of its proper divisors (2543107716).

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

1328766444 is a wasteful number, since it uses less digits than its factorization.

1328766444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12749 (or 12738 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 1328766444 is about 36452.2488195173. The cubic root of 1328766444 is about 1099.3843508139.

The spelling of 1328766444 in words is "one billion, three hundred twenty-eight million, seven hundred sixty-six thousand, four hundred forty-four".