28302221187072 has 1440 divisors, whose sum is σ = 104030308942560. Its totient is φ = 7483592540160.

The previous prime is 28302221187007. The next prime is 28302221187077. The reversal of 28302221187072 is 27078112220382.

28302221187072 is a `hidden beast` number, since 283 + 0 + 2 + 221 + 1 + 87 + 0 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28302221187077) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 156365862822 + ... + 156365863002.

It is an arithmetic number, because the mean of its divisors is an integer number (72243270099).

Almost surely, 2^{28302221187072} 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 28302221187072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52015154471280).

28302221187072 is an abundant number, since it is smaller than the sum of its proper divisors (75728087755488).

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

28302221187072 is an equidigital number, since it uses as much as digits as its factorization.

28302221187072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 28302221187072 in words is "twenty-eight trillion, three hundred two billion, two hundred twenty-one million, one hundred eighty-seven thousand, seventy-two".