28368630360 has 288 divisors, whose sum is σ = 109535924160. Its totient is φ = 6346109952.

The previous prime is 28368630349. The next prime is 28368630377. The reversal of 28368630360 is 6303686382.

28368630360 is a `hidden beast` number, since 2 + 8 + 3 + 6 + 8 + 630 + 3 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 811972 + ... + 846188.

It is an arithmetic number, because the mean of its divisors is an integer number (380333070).

Almost surely, 2^28368630360 is an apocalyptic number.

28368630360 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 28368630360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54767962080).

28368630360 is an abundant number, since it is smaller than the sum of its proper divisors (81167293800).

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

28368630360 is a wasteful number, since it uses less digits than its factorization.

28368630360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34295 (or 34281 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 28368630360 in words is "twenty-eight billion, three hundred sixty-eight million, six hundred thirty thousand, three hundred sixty".