28173847680 has 768 divisors, whose sum is σ = 112916643840. Its totient is φ = 6653767680.

The previous prime is 28173847661. The next prime is 28173847693. The reversal of 28173847680 is 8674837182.

It is a happy number.

28173847680 is a `hidden beast` number, since 28 + 1 + 73 + 8 + 476 + 80 = 666.

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

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, 73560769 + ... + 73561151.

It is an arithmetic number, because the mean of its divisors is an integer number (147026880).

Almost surely, 2^28173847680 is an apocalyptic number.

28173847680 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 28173847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56458321920).

28173847680 is an abundant number, since it is smaller than the sum of its proper divisors (84742796160).

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

28173847680 is a wasteful number, since it uses less digits than its factorization.

28173847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 28173847680 in words is "twenty-eight billion, one hundred seventy-three million, eight hundred forty-seven thousand, six hundred eighty".