1428884283168 has 144 divisors (see below), whose sum is σ = 4256562151296. Its totient is φ = 453813043200.

The previous prime is 1428884283139. The next prime is 1428884283181. The reversal of 1428884283168 is 8613824888241.

1428884283168 is a `hidden beast` number, since 1 + 42 + 8 + 8 + 8 + 428 + 3 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1282693 + ... + 2122043.

It is an arithmetic number, because the mean of its divisors is an integer number (29559459384).

Almost surely, 2^{1428884283168} is an apocalyptic number.

1428884283168 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 1428884283168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128281075648).

1428884283168 is an abundant number, since it is smaller than the sum of its proper divisors (2827677868128).

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

1428884283168 is a wasteful number, since it uses less digits than its factorization.

1428884283168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839647 (or 839636 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 63.

The spelling of 1428884283168 in words is "one trillion, four hundred twenty-eight billion, eight hundred eighty-four million, two hundred eighty-three thousand, one hundred sixty-eight".