428851584 has 320 divisors, whose sum is σ = 1540281600. Its totient is φ = 115706880.

The previous prime is 428851561. The next prime is 428851607. The reversal of 428851584 is 485158824.

It is an interprime number because it is at equal distance from previous prime (428851561) and next prime (428851607).

It is a super-4 number, since 4×428851584⁴ (a number of 36 digits) contains 4444 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1378789 + ... + 1379099.

It is an arithmetic number, because the mean of its divisors is an integer number (4813380).

Almost surely, 2^428851584 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 428851584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770140800).

428851584 is an abundant number, since it is smaller than the sum of its proper divisors (1111430016).

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

428851584 is a wasteful number, since it uses less digits than its factorization.

428851584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 342 counting only the distinct ones).

The product of its digits is 409600, while the sum is 45.

The square root of 428851584 is about 20708.7320712785. The cubic root of 428851584 is about 754.1116894870. Note that the first 3 decimals are identical.

The spelling of 428851584 in words is "four hundred twenty-eight million, eight hundred fifty-one thousand, five hundred eighty-four".