428329984 has 44 divisors (see below), whose sum is σ = 861344848. Its totient is φ = 212889600.

The previous prime is 428329969. The next prime is 428329987. The reversal of 428329984 is 489923824.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (428329987) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 184189 + ... + 186499.

Almost surely, 2^428329984 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 428329984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430672424).

428329984 is an abundant number, since it is smaller than the sum of its proper divisors (433014864).

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

428329984 is a wasteful number, since it uses less digits than its factorization.

428329984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2494 counting only the distinct ones).

The product of its digits is 995328, while the sum is 49.

The square root of 428329984 is about 20696.1345183104. The cubic root of 428329984 is about 753.8058305752.

The spelling of 428329984 in words is "four hundred twenty-eight million, three hundred twenty-nine thousand, nine hundred eighty-four".