28167705507708 has 288 divisors, whose sum is σ = 78090390233856. Its totient is φ = 8508888631296.

The previous prime is 28167705507673. The next prime is 28167705507727. The reversal of 28167705507708 is 80770550776182.

28167705507708 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 7 + 7 + 0 + 550 + 7 + 70 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5228826991 + ... + 5228832377.

It is an arithmetic number, because the mean of its divisors is an integer number (271147188312).

Almost surely, 2^{28167705507708} 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 28167705507708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39045195116928).

28167705507708 is an abundant number, since it is smaller than the sum of its proper divisors (49922684726148).

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

28167705507708 is a wasteful number, since it uses less digits than its factorization.

28167705507708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 46099200, while the sum is 63.

The spelling of 28167705507708 in words is "twenty-eight trillion, one hundred sixty-seven billion, seven hundred five million, five hundred seven thousand, seven hundred eight".