428019584 has 64 divisors (see below), whose sum is σ = 895784400. Its totient is φ = 203427840.

The previous prime is 428019583. The next prime is 428019587. The reversal of 428019584 is 485910824.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428019583) by changing a digit.

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, 247844 + ... + 249564.

Almost surely, 2^428019584 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 428019584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447892200).

428019584 is an abundant number, since it is smaller than the sum of its proper divisors (467764816).

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

428019584 is a wasteful number, since it uses less digits than its factorization.

428019584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 428019584 is about 20688.6341743480. The cubic root of 428019584 is about 753.6236985108.

The spelling of 428019584 in words is "four hundred twenty-eight million, nineteen thousand, five hundred eighty-four".