28218064167648 has 144 divisors (see below), whose sum is σ = 81421856976096. Its totient is φ = 9268240343040.

The previous prime is 28218064167611. The next prime is 28218064167661. The reversal of 28218064167648 is 84676146081282.

It is a happy number.

28218064167648 is a `hidden beast` number, since 2 + 82 + 1 + 80 + 6 + 416 + 7 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35451736 + ... + 36238952.

It is an arithmetic number, because the mean of its divisors is an integer number (565429562334).

Almost surely, 2^{28218064167648} 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 28218064167648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40710928488048).

28218064167648 is an abundant number, since it is smaller than the sum of its proper divisors (53203792808448).

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

28218064167648 is a wasteful number, since it uses less digits than its factorization.

28218064167648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789057 (or 789046 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 28218064167648 in words is "twenty-eight trillion, two hundred eighteen billion, sixty-four million, one hundred sixty-seven thousand, six hundred forty-eight".