28447822216800 has 432 divisors, whose sum is σ = 114664023032832. Its totient is φ = 6501264768000.

The previous prime is 28447822216763. The next prime is 28447822216817. The reversal of 28447822216800 is 861222874482.

It is a happy number.

28447822216800 is a `hidden beast` number, since 2 + 8 + 4 + 478 + 2 + 2 + 2 + 168 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 320852475 + ... + 320941125.

Almost surely, 2^{28447822216800} is an apocalyptic number.

28447822216800 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 28447822216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57332011516416).

28447822216800 is an abundant number, since it is smaller than the sum of its proper divisors (86216200816032).

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

28447822216800 is a wasteful number, since it uses less digits than its factorization.

28447822216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95051 (or 95035 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 28447822216800 in words is "twenty-eight trillion, four hundred forty-seven billion, eight hundred twenty-two million, two hundred sixteen thousand, eight hundred".