428973 has 8 divisors (see below), whose sum is σ = 596928. Its totient is φ = 273504.

The previous prime is 428957. The next prime is 428977. The reversal of 428973 is 379824.

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

It is not a de Polignac number, because 428973 - 2⁴ = 428957 is a prime.

428973 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3040 + ... + 3177.

It is an arithmetic number, because the mean of its divisors is an integer number (74616).

2⁴²⁸⁹⁷³ is an apocalyptic number.

It is an amenable number.

428973 is a deficient number, since it is larger than the sum of its proper divisors (167955).

428973 is a wasteful number, since it uses less digits than its factorization.

428973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6243.

The product of its digits is 12096, while the sum is 33.

The square root of 428973 is about 654.9603041406. The cubic root of 428973 is about 75.4182850536.

The spelling of 428973 in words is "four hundred twenty-eight thousand, nine hundred seventy-three".