28282885006068 has 864 divisors, whose sum is σ = 101135958303744. Its totient is φ = 6690750336000.

The previous prime is 28282885006027. The next prime is 28282885006073. The reversal of 28282885006068 is 86060058828282.

28282885006068 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 2 + 8 + 8 + 500 + 60 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 28282885005996 and 28282885006014.

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 287 ways as a sum of consecutive naturals, for example, 1222714863 + ... + 1222737993.

It is an arithmetic number, because the mean of its divisors is an integer number (117055507296).

Almost surely, 2^{28282885006068} is an apocalyptic number.

28282885006068 is a gapful number since it is divisible by the number (28) 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 28282885006068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50567979151872).

28282885006068 is an abundant number, since it is smaller than the sum of its proper divisors (72853073297676).

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

28282885006068 is a wasteful number, since it uses less digits than its factorization.

28282885006068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23247 (or 23202 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 63.

The spelling of 28282885006068 in words is "twenty-eight trillion, two hundred eighty-two billion, eight hundred eighty-five million, six thousand, sixty-eight".