28085395680 has 1008 divisors, whose sum is σ = 113336405280. Its totient is φ = 6552741888.

The previous prime is 28085395633. The next prime is 28085395693. The reversal of 28085395680 is 8659358082.

28085395680 is a `hidden beast` number, since 28 + 0 + 8 + 53 + 9 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 968461906 + ... + 968461934.

It is an arithmetic number, because the mean of its divisors is an integer number (112436910).

Almost surely, 2^28085395680 is an apocalyptic number.

28085395680 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 28085395680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56668202640).

28085395680 is an abundant number, since it is smaller than the sum of its proper divisors (85251009600).

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

28085395680 is a wasteful number, since it uses less digits than its factorization.

28085395680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 28085395680 in words is "twenty-eight billion, eighty-five million, three hundred ninety-five thousand, six hundred eighty".