28200168360 has 768 divisors, whose sum is σ = 118933920000. Its totient is φ = 5890848768.

The previous prime is 28200168349. The next prime is 28200168389. The reversal of 28200168360 is 6386100282.

28200168360 is a `hidden beast` number, since 282 + 0 + 0 + 16 + 8 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 123144726 + ... + 123144954.

It is an arithmetic number, because the mean of its divisors is an integer number (154861875).

Almost surely, 2^28200168360 is an apocalyptic number.

28200168360 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 28200168360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59466960000).

28200168360 is an abundant number, since it is smaller than the sum of its proper divisors (90733751640).

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

28200168360 is a wasteful number, since it uses less digits than its factorization.

28200168360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 28200168360 in words is "twenty-eight billion, two hundred million, one hundred sixty-eight thousand, three hundred sixty".