428584560 has 40 divisors (see below), whose sum is σ = 1328612880. Its totient is φ = 114289152.

The previous prime is 428584531. The next prime is 428584601. The reversal of 428584560 is 65485824.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 892645 + ... + 893124.

It is an arithmetic number, because the mean of its divisors is an integer number (33215322).

Almost surely, 2^428584560 is an apocalyptic number.

428584560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428584560 is an abundant number, since it is smaller than the sum of its proper divisors (900028320).

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

428584560 is a wasteful number, since it uses less digits than its factorization.

428584560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785785 (or 1785779 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 428584560 is about 20702.2839319723. The cubic root of 428584560 is about 753.9551413670.

The spelling of 428584560 in words is "four hundred twenty-eight million, five hundred eighty-four thousand, five hundred sixty".