428193 has 8 divisors (see below), whose sum is σ = 634400. Its totient is φ = 285444.

The previous prime is 428177. The next prime is 428221. The reversal of 428193 is 391824.

It is not a de Polignac number, because 428193 - 2⁴ = 428177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 15859 = 428193 / (4 + 2 + 8 + 1 + 9 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7903 + ... + 7956.

It is an arithmetic number, because the mean of its divisors is an integer number (79300).

2⁴²⁸¹⁹³ is an apocalyptic number.

It is an amenable number.

428193 is a deficient number, since it is larger than the sum of its proper divisors (206207).

428193 is a wasteful number, since it uses less digits than its factorization.

428193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15868 (or 15862 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 428193 is about 654.3645772809. The cubic root of 428193 is about 75.3725463918.

The spelling of 428193 in words is "four hundred twenty-eight thousand, one hundred ninety-three".