428235984 has 480 divisors, whose sum is σ = 1559900160. Its totient is φ = 111974400.

The previous prime is 428235979. The next prime is 428235991. The reversal of 428235984 is 489532824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13814049 + ... + 13814079.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2^428235984 is an apocalyptic number.

428235984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428235984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779950080).

428235984 is an abundant number, since it is smaller than the sum of its proper divisors (1131664176).

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

428235984 is a wasteful number, since it uses less digits than its factorization.

428235984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 428235984 is about 20693.8634382273. The cubic root of 428235984 is about 753.7506838933.

The spelling of 428235984 in words is "four hundred twenty-eight million, two hundred thirty-five thousand, nine hundred eighty-four".