28064676864 has 352 divisors, whose sum is σ = 90788544000. Its totient is φ = 7529103360.

The previous prime is 28064676859. The next prime is 28064676877. The reversal of 28064676864 is 46867646082.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60877594 + ... + 60878054.

It is an arithmetic number, because the mean of its divisors is an integer number (257922000).

Almost surely, 2^28064676864 is an apocalyptic number.

28064676864 is a gapful number since it is divisible by the number (24) 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 28064676864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45394272000).

28064676864 is an abundant number, since it is smaller than the sum of its proper divisors (62723867136).

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

28064676864 is a wasteful number, since it uses less digits than its factorization.

28064676864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 28064676864 in words is "twenty-eight billion, sixty-four million, six hundred seventy-six thousand, eight hundred sixty-four".