28906347945768 has 128 divisors (see below), whose sum is σ = 74549428531200. Its totient is φ = 9335931897600.

The previous prime is 28906347945731. The next prime is 28906347945841. The reversal of 28906347945768 is 86754974360982.

It is a junction number, because it is equal to n+sod(n) for n = 28906347945693 and 28906347945702.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120767313 + ... + 121006431.

It is an arithmetic number, because the mean of its divisors is an integer number (582417410400).

Almost surely, 2^{28906347945768} 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 28906347945768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37274714265600).

28906347945768 is an abundant number, since it is smaller than the sum of its proper divisors (45643080585432).

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

28906347945768 is a wasteful number, since it uses less digits than its factorization.

28906347945768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240423 (or 240419 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 78.

The spelling of 28906347945768 in words is "twenty-eight trillion, nine hundred six billion, three hundred forty-seven million, nine hundred forty-five thousand, seven hundred sixty-eight".