28820118918864 has 320 divisors, whose sum is σ = 92192842280448. Its totient is φ = 7554517401600.

The previous prime is 28820118918859. The next prime is 28820118918893. The reversal of 28820118918864 is 46881981102882.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 28820118918795 and 28820118918804.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4262697244 + ... + 4262704004.

Almost surely, 2^{28820118918864} is an apocalyptic number.

28820118918864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28820118918864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46096421140224).

28820118918864 is an abundant number, since it is smaller than the sum of its proper divisors (63372723361584).

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

28820118918864 is a wasteful number, since it uses less digits than its factorization.

28820118918864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12606 (or 12600 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 66.

The spelling of 28820118918864 in words is "twenty-eight trillion, eight hundred twenty billion, one hundred eighteen million, nine hundred eighteen thousand, eight hundred sixty-four".