2728743066 has 240 divisors, whose sum is σ = 7661794536. Its totient is φ = 721115136.

The previous prime is 2728743041. The next prime is 2728743089. The reversal of 2728743066 is 6603478272.

2728743066 is a `hidden beast` number, since 272 + 8 + 74 + 306 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2334919041 + 393824025 = 48321^2 + 19845^2 .

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 9850920 + ... + 9851196.

Almost surely, 2^2728743066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728743066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830897268).

2728743066 is an abundant number, since it is smaller than the sum of its proper divisors (4933051470).

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

2728743066 is a wasteful number, since it uses less digits than its factorization.

2728743066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2728743066 is about 52237.3723114017. The cubic root of 2728743066 is about 1397.4004594558.

The spelling of 2728743066 in words is "two billion, seven hundred twenty-eight million, seven hundred forty-three thousand, sixty-six".