27830226304 has 128 divisors (see below), whose sum is σ = 58559954400. Its totient is φ = 13155631104.

The previous prime is 27830226301. The next prime is 27830226317. The reversal of 27830226304 is 40362203872.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×27830226304² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27830226301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78838992 + ... + 78839344.

Almost surely, 2^27830226304 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 27830226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29279977200).

27830226304 is an abundant number, since it is smaller than the sum of its proper divisors (30729728096).

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

27830226304 is a wasteful number, since it uses less digits than its factorization.

27830226304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 27830226304 in words is "twenty-seven billion, eight hundred thirty million, two hundred twenty-six thousand, three hundred four".