28003080768 has 224 divisors, whose sum is σ = 80880508800. Its totient is φ = 8499707904.

The previous prime is 28003080761. The next prime is 28003080793. The reversal of 28003080768 is 86708030082.

It is not an unprimeable number, because it can be changed into a prime (28003080761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104100538 + ... + 104100806.

It is an arithmetic number, because the mean of its divisors is an integer number (361073700).

Almost surely, 2^28003080768 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 28003080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40440254400).

28003080768 is an abundant number, since it is smaller than the sum of its proper divisors (52877428032).

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

28003080768 is a wasteful number, since it uses less digits than its factorization.

28003080768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 28003080768 in words is "twenty-eight billion, three million, eighty thousand, seven hundred sixty-eight".