428993 has 4 divisors (see below), whose sum is σ = 430848. Its totient is φ = 427140.

The previous prime is 428977. The next prime is 429007. The reversal of 428993 is 399824.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 428993 - 2⁴ = 428977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428093) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 521 + ... + 1062.

It is an arithmetic number, because the mean of its divisors is an integer number (107712).

2⁴²⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

428993 is a deficient number, since it is larger than the sum of its proper divisors (1855).

428993 is a wasteful number, since it uses less digits than its factorization.

428993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854.

The product of its digits is 15552, while the sum is 35.

The square root of 428993 is about 654.9755720636. The cubic root of 428993 is about 75.4194571104.

The spelling of 428993 in words is "four hundred twenty-eight thousand, nine hundred ninety-three".