428488704 has 336 divisors, whose sum is σ = 1503880560. Its totient is φ = 119439360.

The previous prime is 428488699. The next prime is 428488733. The reversal of 428488704 is 407884824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 428488704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10450924 + ... + 10450964.

It is an arithmetic number, because the mean of its divisors is an integer number (4475835).

Almost surely, 2^428488704 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 428488704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751940280).

428488704 is an abundant number, since it is smaller than the sum of its proper divisors (1075391856).

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

428488704 is an frugal number, since it uses more digits than its factorization.

428488704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 428488704 is about 20699.9686956285. The cubic root of 428488704 is about 753.8989280240.

The spelling of 428488704 in words is "four hundred twenty-eight million, four hundred eighty-eight thousand, seven hundred four".