28446187714560 has 4608 divisors, whose sum is σ = 138294206668800. Its totient is φ = 5226689986560.

The previous prime is 28446187714519. The next prime is 28446187714583. The reversal of 28446187714560 is 6541778164482.

28446187714560 is a `hidden beast` number, since 2 + 8 + 4 + 4 + 61 + 8 + 7 + 7 + 1 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 164428830634 + ... + 164428830806.

It is an arithmetic number, because the mean of its divisors is an integer number (30011763600).

Almost surely, 2^{28446187714560} is an apocalyptic number.

28446187714560 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 28446187714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69147103334400).

28446187714560 is an abundant number, since it is smaller than the sum of its proper divisors (109848018954240).

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

28446187714560 is a wasteful number, since it uses less digits than its factorization.

28446187714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 28446187714560 in words is "twenty-eight trillion, four hundred forty-six billion, one hundred eighty-seven million, seven hundred fourteen thousand, five hundred sixty".