28712226816 has 624 divisors, whose sum is σ = 106189958784. Its totient is φ = 7548567552.

The previous prime is 28712226793. The next prime is 28712226869. The reversal of 28712226816 is 61862221782.

It is a tau number, because it is divible by the number of its divisors (624).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90574690 + ... + 90575006.

It is an arithmetic number, because the mean of its divisors is an integer number (170176216).

Almost surely, 2^28712226816 is an apocalyptic number.

28712226816 is a gapful number since it is divisible by the number (26) 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 28712226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53094979392).

28712226816 is an abundant number, since it is smaller than the sum of its proper divisors (77477731968).

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

28712226816 is an equidigital number, since it uses as much as digits as its factorization.

28712226816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 342 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 28712226816 in words is "twenty-eight billion, seven hundred twelve million, two hundred twenty-six thousand, eight hundred sixteen".