28017711648 has 192 divisors, whose sum is σ = 85471303680. Its totient is φ = 8912242944.

The previous prime is 28017711643. The next prime is 28017711697. The reversal of 28017711648 is 84611771082.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28017711643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9994215 + ... + 9997017.

It is an arithmetic number, because the mean of its divisors is an integer number (445163040).

Almost surely, 2^28017711648 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 28017711648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42735651840).

28017711648 is an abundant number, since it is smaller than the sum of its proper divisors (57453592032).

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

28017711648 is a wasteful number, since it uses less digits than its factorization.

28017711648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 28017711648 in words is "twenty-eight billion, seventeen million, seven hundred eleven thousand, six hundred forty-eight".