428393 has 8 divisors (see below), whose sum is σ = 515520. Its totient is φ = 347760.

The previous prime is 428369. The next prime is 428401. The reversal of 428393 is 393824.

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

It is not a de Polignac number, because 428393 - 2⁸ = 428137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (428303) 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, 1478 + ... + 1743.

It is an arithmetic number, because the mean of its divisors is an integer number (64440).

2⁴²⁸³⁹³ is an apocalyptic number.

It is an amenable number.

428393 is a deficient number, since it is larger than the sum of its proper divisors (87127).

428393 is a wasteful number, since it uses less digits than its factorization.

428393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247.

The product of its digits is 5184, while the sum is 29.

The square root of 428393 is about 654.5173794484. The cubic root of 428393 is about 75.3842795455.

The spelling of 428393 in words is "four hundred twenty-eight thousand, three hundred ninety-three".