28314671616 has 240 divisors, whose sum is σ = 101883532608. Its totient is φ = 7354368000.

The previous prime is 28314671603. The next prime is 28314671621. The reversal of 28314671616 is 61617641382.

28314671616 is a `hidden beast` number, since 28 + 3 + 1 + 4 + 6 + 7 + 1 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 314916 + ... + 394716.

Almost surely, 2^28314671616 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 28314671616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50941766304).

28314671616 is an abundant number, since it is smaller than the sum of its proper divisors (73568860992).

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

28314671616 is a wasteful number, since it uses less digits than its factorization.

28314671616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79843 (or 79824 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 28314671616 in words is "twenty-eight billion, three hundred fourteen million, six hundred seventy-one thousand, six hundred sixteen".