428033 has 2 divisors, whose sum is σ = 428034. Its totient is φ = 428032.

The previous prime is 428027. The next prime is 428039. The reversal of 428033 is 330824.

It is a balanced prime because it is at equal distance from previous prime (428027) and next prime (428039).

It can be written as a sum of positive squares in only one way, i.e., 223729 + 204304 = 473^2 + 452^2 .

It is a cyclic number.

It is not a de Polignac number, because 428033 - 2⁶ = 427969 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 427996 and 428014.

It is not a weakly prime, because it can be changed into another prime (428039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214016 + 214017.

It is an arithmetic number, because the mean of its divisors is an integer number (214017).

It is a Proth number, since it is equal to 209 ⋅ 2¹¹ + 1 and 209 < 2¹¹.

2⁴²⁸⁰³³ is an apocalyptic number.

It is an amenable number.

428033 is a deficient number, since it is larger than the sum of its proper divisors (1).

428033 is an equidigital number, since it uses as much as digits as its factorization.

428033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 428033 is about 654.2423098516. The cubic root of 428033 is about 75.3631572379.

Adding to 428033 its reverse (330824), we get a palindrome (758857).

The spelling of 428033 in words is "four hundred twenty-eight thousand, thirty-three".