12428767008 has 480 divisors, whose sum is σ = 45430640640. Its totient is φ = 3252856320.

The previous prime is 12428766971. The next prime is 12428767033. The reversal of 12428767008 is 80076782421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10686235 + ... + 10687397.

It is an arithmetic number, because the mean of its divisors is an integer number (94647168).

Almost surely, 2^12428767008 is an apocalyptic number.

12428767008 is a gapful number since it is divisible by the number (18) 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 12428767008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22715320320).

12428767008 is an abundant number, since it is smaller than the sum of its proper divisors (33001873632).

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

12428767008 is a wasteful number, since it uses less digits than its factorization.

12428767008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 12428767008 in words is "twelve billion, four hundred twenty-eight million, seven hundred sixty-seven thousand, eight".