28559191046400 has 729 divisors, whose sum is σ = 118813199005683. Its totient is φ = 6525762969600.

The previous prime is 28559191046387. The next prime is 28559191046429. The reversal of 28559191046400 is 464019195582.

The square root of 28559191046400 is 5344080.

It is a perfect power (a square), and thus also a powerful number.

28559191046400 is a `hidden beast` number, since 2 + 8 + 5 + 5 + 9 + 191 + 0 + 46 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10476149209344 + 18083041837056 = 3236688^2 + 4252416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8978052810 + ... + 8978055990.

Almost surely, 2^{28559191046400} is an apocalyptic number.

28559191046400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28559191046400 is the 5344080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28559191046400

28559191046400 is an abundant number, since it is smaller than the sum of its proper divisors (90254007959283).

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

28559191046400 is an frugal number, since it uses more digits than its factorization.

28559191046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 28559191046400 in words is "twenty-eight trillion, five hundred fifty-nine billion, one hundred ninety-one million, forty-six thousand, four hundred".