28776633667782 has 576 divisors, whose sum is σ = 81623071014912. Its totient is φ = 6693967526400.

The previous prime is 28776633667777. The next prime is 28776633667799.

28776633667782 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 28776633667698 and 28776633667707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6553546807 + ... + 6553551197.

It is an arithmetic number, because the mean of its divisors is an integer number (141706720512).

Almost surely, 2^{28776633667782} is an apocalyptic number.

28776633667782 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28776633667782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40811535507456).

28776633667782 is an abundant number, since it is smaller than the sum of its proper divisors (52846437347130).

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

28776633667782 is a wasteful number, since it uses less digits than its factorization.

28776633667782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4865 (or 4847 counting only the distinct ones).

The product of its digits is 7169347584, while the sum is 78.

The spelling of 28776633667782 in words is "twenty-eight trillion, seven hundred seventy-six billion, six hundred thirty-three million, six hundred sixty-seven thousand, seven hundred eighty-two".