8428329 has 48 divisors (see below), whose sum is σ = 15410304. Its totient is φ = 4320000.

The previous prime is 8428319. The next prime is 8428333. The reversal of 8428329 is 9238248.

It is not a de Polignac number, because 8428329 - 2⁴ = 8428313 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8428293 and 8428302.

It is not an unprimeable number, because it can be changed into a prime (8428319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33454 + ... + 33704.

It is an arithmetic number, because the mean of its divisors is an integer number (321048).

Almost surely, 2^8428329 is an apocalyptic number.

It is an amenable number.

8428329 is a deficient number, since it is larger than the sum of its proper divisors (6981975).

8428329 is a wasteful number, since it uses less digits than its factorization.

8428329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 315 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 8428329 is about 2903.1584524445. The cubic root of 8428329 is about 203.5075347298.

The spelling of 8428329 in words is "eight million, four hundred twenty-eight thousand, three hundred twenty-nine".