428829696 has 264 divisors, whose sum is σ = 1362483200. Its totient is φ = 129392640.

The previous prime is 428829647. The next prime is 428829721. The reversal of 428829696 is 696928824.

It is a happy number.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5428185 + ... + 5428263.

Almost surely, 2^428829696 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 428829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681241600).

428829696 is an abundant number, since it is smaller than the sum of its proper divisors (933653504).

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

428829696 is a wasteful number, since it uses less digits than its factorization.

428829696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 428829696 is about 20708.2035918136. The cubic root of 428829696 is about 754.0988596580.

The spelling of 428829696 in words is "four hundred twenty-eight million, eight hundred twenty-nine thousand, six hundred ninety-six".