28020086968896 has 1344 divisors, whose sum is σ = 96383684726784. Its totient is φ = 7994076364800.

The previous prime is 28020086968879. The next prime is 28020086968919. The reversal of 28020086968896 is 69886968002082.

28020086968896 is a `hidden beast` number, since 280 + 20 + 0 + 86 + 96 + 88 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 28856937691 + ... + 28856938661.

It is an arithmetic number, because the mean of its divisors is an integer number (71714051136).

Almost surely, 2^{28020086968896} 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 28020086968896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48191842363392).

28020086968896 is an abundant number, since it is smaller than the sum of its proper divisors (68363597757888).

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

28020086968896 is a wasteful number, since it uses less digits than its factorization.

28020086968896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

It can be divided in two parts, 28020086 and 968896, that added together give a palindrome (28988982).

The spelling of 28020086968896 in words is "twenty-eight trillion, twenty billion, eighty-six million, nine hundred sixty-eight thousand, eight hundred ninety-six".