1428783326568 has 384 divisors, whose sum is σ = 4536793497600. Its totient is φ = 418219718400.

The previous prime is 1428783326563. The next prime is 1428783326573. The reversal of 1428783326568 is 8656233878241.

1428783326568 is a `hidden beast` number, since 1 + 4 + 287 + 8 + 33 + 265 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (1428783326563) and next prime (1428783326573).

It is not an unprimeable number, because it can be changed into a prime (1428783326563) 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, 46207033 + ... + 46237943.

It is an arithmetic number, because the mean of its divisors is an integer number (11814566400).

Almost surely, 2^{1428783326568} is an apocalyptic number.

1428783326568 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 1428783326568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268396748800).

1428783326568 is an abundant number, since it is smaller than the sum of its proper divisors (3108010171032).

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

1428783326568 is a wasteful number, since it uses less digits than its factorization.

1428783326568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31035 (or 31019 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 1428783326568 in words is "one trillion, four hundred twenty-eight billion, seven hundred eighty-three million, three hundred twenty-six thousand, five hundred sixty-eight".