28315676160 has 240 divisors, whose sum is σ = 98847530496. Its totient is φ = 7490617344.

The previous prime is 28315676159. The next prime is 28315676203. The reversal of 28315676160 is 6167651382.

28315676160 is a `hidden beast` number, since 2 + 83 + 1 + 567 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2921242 + ... + 2930918.

Almost surely, 2^28315676160 is an apocalyptic number.

28315676160 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 28315676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49423765248).

28315676160 is an abundant number, since it is smaller than the sum of its proper divisors (70531854336).

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

28315676160 is a wasteful number, since it uses less digits than its factorization.

28315676160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9833 (or 9814 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 28315676160 in words is "twenty-eight billion, three hundred fifteen million, six hundred seventy-six thousand, one hundred sixty".