428884992 has 132 divisors (see below), whose sum is σ = 1250184780. Its totient is φ = 141606912.

The previous prime is 428884949. The next prime is 428885003. The reversal of 428884992 is 299488824.

It can be written as a sum of positive squares in 2 ways, for example, as 204604416 + 224280576 = 14304^2 + 14976^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1594234 + ... + 1594502.

Almost surely, 2^428884992 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 428884992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625092390).

428884992 is an abundant number, since it is smaller than the sum of its proper divisors (821299788).

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

428884992 is a wasteful number, since it uses less digits than its factorization.

428884992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 447 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 428884992 is about 20709.5386718295. The cubic root of 428884992 is about 754.1312710160.

The spelling of 428884992 in words is "four hundred twenty-eight million, eight hundred eighty-four thousand, nine hundred ninety-two".