28205383680 has 304 divisors, whose sum is σ = 100411446240. Its totient is φ = 7511998464.

The previous prime is 28205383651. The next prime is 28205383721. The reversal of 28205383680 is 8638350282.

28205383680 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 538 + 36 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35389042 + ... + 35389838.

It is an arithmetic number, because the mean of its divisors is an integer number (330300810).

Almost surely, 2^28205383680 is an apocalyptic number.

28205383680 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 28205383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50205723120).

28205383680 is an abundant number, since it is smaller than the sum of its proper divisors (72206062560).

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

28205383680 is an frugal number, since it uses more digits than its factorization.

28205383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 28205383680 in words is "twenty-eight billion, two hundred five million, three hundred eighty-three thousand, six hundred eighty".