428038688 has 192 divisors, whose sum is σ = 1137991680. Its totient is φ = 153446400.

The previous prime is 428038673. The next prime is 428038693. The reversal of 428038688 is 886830824.

It is a super-2 number, since 2×428038688² = 366434236849522688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1919345 + ... + 1919567.

It is an arithmetic number, because the mean of its divisors is an integer number (5927040).

Almost surely, 2^428038688 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 428038688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568995840).

428038688 is an abundant number, since it is smaller than the sum of its proper divisors (709952992).

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

428038688 is a wasteful number, since it uses less digits than its factorization.

428038688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 47.

The square root of 428038688 is about 20689.0958719805. The cubic root of 428038688 is about 753.6349106247.

The spelling of 428038688 in words is "four hundred twenty-eight million, thirty-eight thousand, six hundred eighty-eight".