28387594656000 has 432 divisors, whose sum is σ = 104907610215408. Its totient is φ = 7365427200000.

The previous prime is 28387594655929. The next prime is 28387594656007. The reversal of 28387594656000 is 65649578382.

It is a happy number.

28387594656000 is a `hidden beast` number, since 2 + 8 + 38 + 7 + 594 + 6 + 5 + 6 + 0 + 0 + 0 = 666.

It is a Cunningham number, because it is equal to 5328001²-1.

It can be written as a sum of positive squares in 8 ways, for example, as 326927794176 + 28060666861824 = 571776^2 + 5297232^2 .

It is not an unprimeable number, because it can be changed into a prime (28387594656007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9324000 + ... + 11988000.

Almost surely, 2^{28387594656000} is an apocalyptic number.

28387594656000 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 28387594656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52453805107704).

28387594656000 is an abundant number, since it is smaller than the sum of its proper divisors (76520015559408).

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

28387594656000 is a wasteful number, since it uses less digits than its factorization.

28387594656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664075 (or 2664048 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 28387594656000 in words is "twenty-eight trillion, three hundred eighty-seven billion, five hundred ninety-four million, six hundred fifty-six thousand".