428746304 has 56 divisors (see below), whose sum is σ = 975725760. Its totient is φ = 183108096.

The previous prime is 428746291. The next prime is 428746319. The reversal of 428746304 is 403647824.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 140507 + ... + 143525.

Almost surely, 2^428746304 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 428746304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487862880).

428746304 is an abundant number, since it is smaller than the sum of its proper divisors (546979456).

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

428746304 is a wasteful number, since it uses less digits than its factorization.

428746304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The square root of 428746304 is about 20706.1899923670. The cubic root of 428746304 is about 754.0499747592.

The spelling of 428746304 in words is "four hundred twenty-eight million, seven hundred forty-six thousand, three hundred four".