28635318720 has 448 divisors, whose sum is σ = 103826096640. Its totient is φ = 7427137536.

The previous prime is 28635318713. The next prime is 28635318737. The reversal of 28635318720 is 2781353682.

28635318720 is a `hidden beast` number, since 2 + 8 + 635 + 3 + 1 + 8 + 7 + 2 + 0 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52349487 + ... + 52350033.

It is an arithmetic number, because the mean of its divisors is an integer number (231754680).

Almost surely, 2^28635318720 is an apocalyptic number.

28635318720 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 28635318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51913048320).

28635318720 is an abundant number, since it is smaller than the sum of its proper divisors (75190777920).

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

28635318720 is a wasteful number, since it uses less digits than its factorization.

28635318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 28635318720 in words is "twenty-eight billion, six hundred thirty-five million, three hundred eighteen thousand, seven hundred twenty".