12828717000 has 384 divisors, whose sum is σ = 47808558720. Its totient is φ = 3076800000.

The previous prime is 12828716993. The next prime is 12828717001. The reversal of 12828717000 is 71782821.

It is a happy number.

It is a super-3 number, since 3×12828717000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12828717001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9998359 + ... + 9999641.

It is an arithmetic number, because the mean of its divisors is an integer number (124501455).

Almost surely, 2^12828717000 is an apocalyptic number.

12828717000 is a gapful number since it is divisible by the number (10) 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 12828717000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23904279360).

12828717000 is an abundant number, since it is smaller than the sum of its proper divisors (34979841720).

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

12828717000 is a wasteful number, since it uses less digits than its factorization.

12828717000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 12828717000 in words is "twelve billion, eight hundred twenty-eight million, seven hundred seventeen thousand".