428565824 has 56 divisors (see below), whose sum is σ = 924153600. Its totient is φ = 196439040.

The previous prime is 428565811. The next prime is 428565829.

428565824 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428565829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32012 + ... + 43380.

Almost surely, 2^428565824 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 428565824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462076800).

428565824 is an abundant number, since it is smaller than the sum of its proper divisors (495587776).

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

428565824 is a wasteful number, since it uses less digits than its factorization.

428565824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11431 (or 11421 counting only the distinct ones).

The product of its digits is 614400, while the sum is 44.

The square root of 428565824 is about 20701.8314165680. The cubic root of 428565824 is about 753.9441545742.

The spelling of 428565824 in words is "four hundred twenty-eight million, five hundred sixty-five thousand, eight hundred twenty-four".