28303806720 has 288 divisors, whose sum is σ = 104322097152. Its totient is φ = 6406004736.

The previous prime is 28303806697. The next prime is 28303806721. The reversal of 28303806720 is 2760830382.

It is a happy number.

It is a super-2 number, since 2×28303806720² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28303806721) 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, 2763529 + ... + 2773751.

It is an arithmetic number, because the mean of its divisors is an integer number (362229504).

Almost surely, 2^28303806720 is an apocalyptic number.

28303806720 is a gapful number since it is divisible by the number (20) 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 28303806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52161048576).

28303806720 is an abundant number, since it is smaller than the sum of its proper divisors (76018290432).

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

28303806720 is a wasteful number, since it uses less digits than its factorization.

28303806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10357 (or 10343 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 28303806720 in words is "twenty-eight billion, three hundred three million, eight hundred six thousand, seven hundred twenty".