28302263101728 has 2304 divisors, whose sum is σ = 116132896309248. Its totient is φ = 6310047744000.

The previous prime is 28302263101727. The next prime is 28302263101769. The reversal of 28302263101728 is 82710136220382.

28302263101728 is a `hidden beast` number, since 2 + 8 + 3 + 0 + 2 + 2 + 631 + 0 + 1 + 7 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (28302263101727) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19084465275 + ... + 19084466757.

It is an arithmetic number, because the mean of its divisors is an integer number (50404902912).

Almost surely, 2^{28302263101728} is an apocalyptic number.

28302263101728 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 28302263101728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58066448154624).

28302263101728 is an abundant number, since it is smaller than the sum of its proper divisors (87830633207520).

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

28302263101728 is a wasteful number, since it uses less digits than its factorization.

28302263101728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 28302263101728 in words is "twenty-eight trillion, three hundred two billion, two hundred sixty-three million, one hundred one thousand, seven hundred twenty-eight".