28266766416 has 180 divisors, whose sum is σ = 92178028800. Its totient is φ = 8062637184.

The previous prime is 28266766403. The next prime is 28266766427. The reversal of 28266766416 is 61466766282.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 4646865 + ... + 4652943.

It is an arithmetic number, because the mean of its divisors is an integer number (512100160).

Almost surely, 2^28266766416 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 28266766416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46089014400).

28266766416 is an abundant number, since it is smaller than the sum of its proper divisors (63911262384).

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

28266766416 is a wasteful number, since it uses less digits than its factorization.

28266766416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766 (or 6750 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 28266766416 in words is "twenty-eight billion, two hundred sixty-six million, seven hundred sixty-six thousand, four hundred sixteen".