28527964146 has 192 divisors, whose sum is σ = 73843436160. Its totient is φ = 7860602880.

The previous prime is 28527964139. The next prime is 28527964159. The reversal of 28527964146 is 64146972582.

28527964146 is a `hidden beast` number, since 28 + 527 + 96 + 4 + 1 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28527964092 and 28527964101.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 19552365 + ... + 19553823.

It is an arithmetic number, because the mean of its divisors is an integer number (384601230).

Almost surely, 2^28527964146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28527964146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36921718080).

28527964146 is an abundant number, since it is smaller than the sum of its proper divisors (45315472014).

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

28527964146 is a wasteful number, since it uses less digits than its factorization.

28527964146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1686 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 28527964146 in words is "twenty-eight billion, five hundred twenty-seven million, nine hundred sixty-four thousand, one hundred forty-six".