428572584 has 192 divisors, whose sum is σ = 1356264000. Its totient is φ = 120821760.

The previous prime is 428572583. The next prime is 428572589. The reversal of 428572584 is 485275824.

428572584 is a `hidden beast` number, since 4 + 28 + 572 + 58 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (428572583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1871382 + ... + 1871610.

It is an arithmetic number, because the mean of its divisors is an integer number (7063875).

Almost surely, 2^428572584 is an apocalyptic number.

428572584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428572584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678132000).

428572584 is an abundant number, since it is smaller than the sum of its proper divisors (927691416).

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

428572584 is a wasteful number, since it uses less digits than its factorization.

428572584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 401 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 428572584 is about 20701.9946865030. The cubic root of 428572584 is about 753.9481186760.

The spelling of 428572584 in words is "four hundred twenty-eight million, five hundred seventy-two thousand, five hundred eighty-four".