428525824 has 36 divisors (see below), whose sum is σ = 864246124. Its totient is φ = 212041728.

The previous prime is 428525819. The next prime is 428525827.

428525824 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 84052224 + 344473600 = 9168^2 + 18560^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428525827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16204 + ... + 33460.

Almost surely, 2^428525824 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 428525824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432123062).

428525824 is an abundant number, since it is smaller than the sum of its proper divisors (435720300).

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

428525824 is an equidigital number, since it uses as much as digits as its factorization.

428525824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17370 (or 17356 counting only the distinct ones).

The product of its digits is 204800, while the sum is 40.

The square root of 428525824 is about 20700.8652959242. The cubic root of 428525824 is about 753.9206974972.

The spelling of 428525824 in words is "four hundred twenty-eight million, five hundred twenty-five thousand, eight hundred twenty-four".