8428416 has 64 divisors (see below), whose sum is σ = 22913280. Its totient is φ = 2743808.

The previous prime is 8428403. The next prime is 8428417. The reversal of 8428416 is 6148248.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8428417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17815 + ... + 18281.

It is an arithmetic number, because the mean of its divisors is an integer number (358020).

Almost surely, 2^8428416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11456640).

8428416 is an abundant number, since it is smaller than the sum of its proper divisors (14484864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8428416 is a wasteful number, since it uses less digits than its factorization.

8428416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 8428416 is about 2903.1734360868. The cubic root of 8428416 is about 203.5082349514.

The spelling of 8428416 in words is "eight million, four hundred twenty-eight thousand, four hundred sixteen".