28385804160 has 512 divisors, whose sum is σ = 117362995200. Its totient is φ = 6348865536.

The previous prime is 28385804147. The next prime is 28385804171. The reversal of 28385804160 is 6140858382.

28385804160 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 580 + 4 + 1 + 60 = 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, 5682624 + ... + 5687616.

It is an arithmetic number, because the mean of its divisors is an integer number (229224600).

Almost surely, 2^28385804160 is an apocalyptic number.

28385804160 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 28385804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58681497600).

28385804160 is an abundant number, since it is smaller than the sum of its proper divisors (88977191040).

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

28385804160 is a wasteful number, since it uses less digits than its factorization.

28385804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 28385804160 in words is "twenty-eight billion, three hundred eighty-five million, eight hundred four thousand, one hundred sixty".