428967 has 24 divisors (see below), whose sum is σ = 773760. Its totient is φ = 222480.

The previous prime is 428957. The next prime is 428977. The reversal of 428967 is 769824.

It is an interprime number because it is at equal distance from previous prime (428957) and next prime (428977).

It is not a de Polignac number, because 428967 - 2⁴ = 428951 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428957) 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 23 ways as a sum of consecutive naturals, for example, 384 + ... + 1002.

It is an arithmetic number, because the mean of its divisors is an integer number (32240).

2⁴²⁸⁹⁶⁷ is an apocalyptic number.

428967 is a deficient number, since it is larger than the sum of its proper divisors (344793).

428967 is a wasteful number, since it uses less digits than its factorization.

428967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 640 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 428967 is about 654.9557236944. The cubic root of 428967 is about 75.4179334294.

It can be divided in two parts, 4289 and 67, that added together give a square (4356 = 66²).

The spelling of 428967 in words is "four hundred twenty-eight thousand, nine hundred sixty-seven".