28416185712 has 360 divisors, whose sum is σ = 89204701248. Its totient is φ = 8410890240.

The previous prime is 28416185711. The next prime is 28416185713. The reversal of 28416185712 is 21758161482.

28416185712 is a `hidden beast` number, since 28 + 4 + 1 + 618 + 5 + 7 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (28416185711) and next prime (28416185713).

It is a super-2 number, since 2×28416185712² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28416185711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110568688 + ... + 110568944.

Almost surely, 2^28416185712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28416185712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44602350624).

28416185712 is an abundant number, since it is smaller than the sum of its proper divisors (60788515536).

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

28416185712 is a wasteful number, since it uses less digits than its factorization.

28416185712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 357 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 28416185712 in words is "twenty-eight billion, four hundred sixteen million, one hundred eighty-five thousand, seven hundred twelve".