28647575506368 has 336 divisors, whose sum is σ = 101073087810240. Its totient is φ = 7554596585472.

The previous prime is 28647575506357. The next prime is 28647575506441. The reversal of 28647575506368 is 86360557574682.

28647575506368 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 7 + 5 + 7 + 550 + 6 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28647575506296 and 28647575506305.

It is a congruent number.

It is an unprimeable number.

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, 612667246 + ... + 612714002.

It is an arithmetic number, because the mean of its divisors is an integer number (300812761340).

Almost surely, 2^{28647575506368} is an apocalyptic number.

28647575506368 is a gapful number since it is divisible by the number (28) 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 28647575506368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50536543905120).

28647575506368 is an abundant number, since it is smaller than the sum of its proper divisors (72425512303872).

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

28647575506368 is a wasteful number, since it uses less digits than its factorization.

28647575506368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58484 (or 58471 counting only the distinct ones).

The product of its (nonzero) digits is 2032128000, while the sum is 72.

The spelling of 28647575506368 in words is "twenty-eight trillion, six hundred forty-seven billion, five hundred seventy-five million, five hundred six thousand, three hundred sixty-eight".