428768849 has 8 divisors (see below), whose sum is σ = 455129928. Its totient is φ = 402534400.

The previous prime is 428768819. The next prime is 428768861. The reversal of 428768849 is 948867824.

It can be written as a sum of positive squares in 4 ways, for example, as 290941249 + 137827600 = 17057^2 + 11740^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 428768849 - 2¹⁶ = 428703313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 428768794 and 428768803.

It is not an unprimeable number, because it can be changed into a prime (428768819) 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, 24632 + ... + 38265.

It is an arithmetic number, because the mean of its divisors is an integer number (56891241).

Almost surely, 2^428768849 is an apocalyptic number.

It is an amenable number.

428768849 is a deficient number, since it is larger than the sum of its proper divisors (26361079).

428768849 is a wasteful number, since it uses less digits than its factorization.

428768849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63315.

The product of its digits is 6193152, while the sum is 56.

The square root of 428768849 is about 20706.7343876334. The cubic root of 428768849 is about 754.0631914008.

The spelling of 428768849 in words is "four hundred twenty-eight million, seven hundred sixty-eight thousand, eight hundred forty-nine".