28363675615200 has 216 divisors, whose sum is σ = 100195076276568. Its totient is φ = 7550211210240.

The previous prime is 28363675615193. The next prime is 28363675615229. The reversal of 28363675615200 is 251657636382.

28363675615200 is a `hidden beast` number, since 2 + 8 + 3 + 6 + 3 + 67 + 56 + 1 + 520 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 555022 + ... + 7552178.

It is an arithmetic number, because the mean of its divisors is an integer number (463866093873).

Almost surely, 2^{28363675615200} is an apocalyptic number.

28363675615200 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 28363675615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50097538138284).

28363675615200 is an abundant number, since it is smaller than the sum of its proper divisors (71831400661368).

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

28363675615200 is a wasteful number, since it uses less digits than its factorization.

28363675615200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6997746 (or 6997730 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 28363675615200 in words is "twenty-eight trillion, three hundred sixty-three billion, six hundred seventy-five million, six hundred fifteen thousand, two hundred".