28167784560 has 320 divisors, whose sum is σ = 100035025920. Its totient is φ = 7281792000.

The previous prime is 28167784553. The next prime is 28167784571. The reversal of 28167784560 is 6548776182.

28167784560 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 7 + 78 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28167784497 and 28167784506.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 9353455 + ... + 9356465.

It is an arithmetic number, because the mean of its divisors is an integer number (312609456).

Almost surely, 2^28167784560 is an apocalyptic number.

28167784560 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 28167784560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50017512960).

28167784560 is an abundant number, since it is smaller than the sum of its proper divisors (71867241360).

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

28167784560 is a wasteful number, since it uses less digits than its factorization.

28167784560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 28167784560 in words is "twenty-eight billion, one hundred sixty-seven million, seven hundred eighty-four thousand, five hundred sixty".