428443560 has 256 divisors, whose sum is σ = 1504051200. Its totient is φ = 108345600.

The previous prime is 428443553. The next prime is 428443577. The reversal of 428443560 is 65344824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2243065 + ... + 2243255.

It is an arithmetic number, because the mean of its divisors is an integer number (5875200).

Almost surely, 2^428443560 is an apocalyptic number.

428443560 is a gapful number since it is divisible by the number (40) 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 428443560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752025600).

428443560 is an abundant number, since it is smaller than the sum of its proper divisors (1075607640).

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

428443560 is a wasteful number, since it uses less digits than its factorization.

428443560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 428443560 is about 20698.8782304742. The cubic root of 428443560 is about 753.8724510845.

The spelling of 428443560 in words is "four hundred twenty-eight million, four hundred forty-three thousand, five hundred sixty".