12828296416 has 48 divisors (see below), whose sum is σ = 27412729344. Its totient is φ = 5874107904.

The previous prime is 12828296359. The next prime is 12828296417. The reversal of 12828296416 is 61469282821.

It is a super-3 number, since 3×12828296416³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12828296416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12828296417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68575 + ... + 174238.

It is an arithmetic number, because the mean of its divisors is an integer number (571098528).

Almost surely, 2^12828296416 is an apocalyptic number.

12828296416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12828296416 is an abundant number, since it is smaller than the sum of its proper divisors (14584432928).

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

12828296416 is a wasteful number, since it uses less digits than its factorization.

12828296416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242963 (or 242955 counting only the distinct ones).

The product of its digits is 663552, while the sum is 49.

The spelling of 12828296416 in words is "twelve billion, eight hundred twenty-eight million, two hundred ninety-six thousand, four hundred sixteen".