8428866336 has 288 divisors, whose sum is σ = 27689014080. Its totient is φ = 2405376000.

The previous prime is 8428866331. The next prime is 8428866337. The reversal of 8428866336 is 6336688248.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (8428866331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14024436 + ... + 14025036.

It is an arithmetic number, because the mean of its divisors is an integer number (96142410).

Almost surely, 2^8428866336 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 8428866336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13844507040).

8428866336 is an abundant number, since it is smaller than the sum of its proper divisors (19260147744).

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

8428866336 is a wasteful number, since it uses less digits than its factorization.

8428866336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 869 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 8428866336 is about 91808.8576118884. The cubic root of 8428866336 is about 2035.1185941466.

The spelling of 8428866336 in words is "eight billion, four hundred twenty-eight million, eight hundred sixty-six thousand, three hundred thirty-six".