428658336 has 72 divisors (see below), whose sum is σ = 1235756340. Its totient is φ = 140921856.

The previous prime is 428658323. The next prime is 428658343. The reversal of 428658336 is 633856824.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 385886736 + 42771600 = 19644^2 + 6540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 428658291 and 428658300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10830 + ... + 31218.

Almost surely, 2^428658336 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 428658336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617878170).

428658336 is an abundant number, since it is smaller than the sum of its proper divisors (807098004).

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

428658336 is a wasteful number, since it uses less digits than its factorization.

428658336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20478 (or 20467 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 428658336 is about 20704.0656876856. The cubic root of 428658336 is about 753.9984005107.

The spelling of 428658336 in words is "four hundred twenty-eight million, six hundred fifty-eight thousand, three hundred thirty-six".