28272014849988 has 576 divisors, whose sum is σ = 92543806817280. Its totient is φ = 7073151123456.

The previous prime is 28272014849959. The next prime is 28272014850017. The reversal of 28272014849988 is 88994841027282.

28272014849988 is a `hidden beast` number, since 2 + 8 + 27 + 20 + 14 + 8 + 499 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (28272014849959) and next prime (28272014850017).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5644240828 + ... + 5644245836.

It is an arithmetic number, because the mean of its divisors is an integer number (160666331280).

Almost surely, 2^{28272014849988} is an apocalyptic number.

28272014849988 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 28272014849988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46271903408640).

28272014849988 is an abundant number, since it is smaller than the sum of its proper divisors (64271791967292).

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

28272014849988 is a wasteful number, since it uses less digits than its factorization.

28272014849988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 28272014849988 in words is "twenty-eight trillion, two hundred seventy-two billion, fourteen million, eight hundred forty-nine thousand, nine hundred eighty-eight".