2802806686728 has 192 divisors, whose sum is σ = 8043980555520. Its totient is φ = 913889433600.

The previous prime is 2802806686723. The next prime is 2802806686751. The reversal of 2802806686728 is 8276866082082.

2802806686728 is a `hidden beast` number, since 280 + 280 + 6 + 6 + 8 + 6 + 72 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2802806686723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190129438 + ... + 190144178.

It is an arithmetic number, because the mean of its divisors is an integer number (41895732060).

Almost surely, 2^{2802806686728} 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 2802806686728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021990277760).

2802806686728 is an abundant number, since it is smaller than the sum of its proper divisors (5241173868792).

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

2802806686728 is a wasteful number, since it uses less digits than its factorization.

2802806686728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16890 (or 16874 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 2802806686728 in words is "two trillion, eight hundred two billion, eight hundred six million, six hundred eighty-six thousand, seven hundred twenty-eight".