28073194845600 has 288 divisors, whose sum is σ = 92753832749760. Its totient is φ = 7374026096640.

The previous prime is 28073194845583. The next prime is 28073194845607. The reversal of 28073194845600 is 654849137082.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (28073194845607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66921306 + ... + 67339494.

It is an arithmetic number, because the mean of its divisors is an integer number (322061919270).

It is a 1-persistent number, because it is pandigital, but 2⋅28073194845600 = 56146389691200 is not.

Almost surely, 2^{28073194845600} is an apocalyptic number.

28073194845600 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 28073194845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46376916374880).

28073194845600 is an abundant number, since it is smaller than the sum of its proper divisors (64680637904160).

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

28073194845600 is a wasteful number, since it uses less digits than its factorization.

28073194845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418632 (or 418619 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 28073194845600 in words is "twenty-eight trillion, seventy-three billion, one hundred ninety-four million, eight hundred forty-five thousand, six hundred".