428624 has 40 divisors (see below), whose sum is σ = 982080. Its totient is φ = 177408.

The previous prime is 428579. The next prime is 428629. The reversal of 428624 is 426824.

It is a junction number, because it is equal to n+sod(n) for n = 428593 and 428602.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428624.

It is not an unprimeable number, because it can be changed into a prime (428629) 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, 4772 + ... + 4860.

It is an arithmetic number, because the mean of its divisors is an integer number (24552).

2⁴²⁸⁶²⁴ 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 428624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040).

428624 is an abundant number, since it is smaller than the sum of its proper divisors (553456).

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

428624 is a wasteful number, since it uses less digits than its factorization.

428624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 428624 is about 654.6938215685. The cubic root of 428624 is about 75.3978267942.

The spelling of 428624 in words is "four hundred twenty-eight thousand, six hundred twenty-four".