2728880882976 has 192 divisors, whose sum is σ = 7559287545600. Its totient is φ = 860256731136.

The previous prime is 2728880882927. The next prime is 2728880882983. The reversal of 2728880882976 is 6792880888272.

It is a junction number, because it is equal to n+sod(n) for n = 2728880882898 and 2728880882907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237515440 + ... + 237526928.

It is an arithmetic number, because the mean of its divisors is an integer number (39371289300).

Almost surely, 2^{2728880882976} 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 2728880882976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779643772800).

2728880882976 is an abundant number, since it is smaller than the sum of its proper divisors (4830406662624).

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

2728880882976 is a wasteful number, since it uses less digits than its factorization.

2728880882976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12731 (or 12723 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 75.

The spelling of 2728880882976 in words is "two trillion, seven hundred twenty-eight billion, eight hundred eighty million, eight hundred eighty-two thousand, nine hundred seventy-six".