428686824 has 96 divisors (see below), whose sum is σ = 1157232960. Its totient is φ = 131865600.

The previous prime is 428686799. The next prime is 428686883.

428686824 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4161957 + ... + 4162059.

It is an arithmetic number, because the mean of its divisors is an integer number (12054510).

Almost surely, 2^428686824 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 428686824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578616480).

428686824 is an abundant number, since it is smaller than the sum of its proper divisors (728546136).

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

428686824 is a wasteful number, since it uses less digits than its factorization.

428686824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 226 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 428686824 is about 20704.7536570711. The cubic root of 428686824 is about 754.0151033474.

The spelling of 428686824 in words is "four hundred twenty-eight million, six hundred eighty-six thousand, eight hundred twenty-four".