28346033726208 has 432 divisors, whose sum is σ = 91428928246656. Its totient is φ = 8371830620160.

The previous prime is 28346033726167. The next prime is 28346033726237. The reversal of 28346033726208 is 80262733064382.

28346033726208 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 6 + 0 + 3 + 3 + 7 + 2 + 620 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508905016 + ... + 508960712.

It is an arithmetic number, because the mean of its divisors is an integer number (211641037608).

Almost surely, 2^{28346033726208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28346033726208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45714464123328).

28346033726208 is an abundant number, since it is smaller than the sum of its proper divisors (63082894520448).

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

28346033726208 is a wasteful number, since it uses less digits than its factorization.

28346033726208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56240 (or 56223 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 28346033726208 in words is "twenty-eight trillion, three hundred forty-six billion, thirty-three million, seven hundred twenty-six thousand, two hundred eight".