1428359228064 has 120 divisors (see below), whose sum is σ = 4258310100660. Its totient is φ = 469597492224.

The previous prime is 1428359228053. The next prime is 1428359228113. The reversal of 1428359228064 is 4608229538241.

1428359228064 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 359 + 2 + 280 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1375225290000 + 53133938064 = 1172700^2 + 230508^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1428359228064.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3585199 + ... + 3963630.

Almost surely, 2^{1428359228064} is an apocalyptic number.

It is an amenable number.

1428359228064 is an abundant number, since it is smaller than the sum of its proper divisors (2829950872596).

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

1428359228064 is an equidigital number, since it uses as much as digits as its factorization.

1428359228064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548924 (or 7548907 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 1428359228064 in words is "one trillion, four hundred twenty-eight billion, three hundred fifty-nine million, two hundred twenty-eight thousand, sixty-four".