428512032 has 216 divisors, whose sum is σ = 1371402396. Its totient is φ = 131010048.

The previous prime is 428512003. The next prime is 428512043. The reversal of 428512032 is 230215824.

It can be written as a sum of positive squares in 2 ways, for example, as 390615696 + 37896336 = 19764^2 + 6156^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 428511987 and 428512005.

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 35 ways as a sum of consecutive naturals, for example, 2729298 + ... + 2729454.

Almost surely, 2^428512032 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 428512032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685701198).

428512032 is an abundant number, since it is smaller than the sum of its proper divisors (942890364).

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

428512032 is an equidigital number, since it uses as much as digits as its factorization.

428512032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 428512032 is about 20700.5321670724. The cubic root of 428512032 is about 753.9126091587.

Adding to 428512032 its reverse (230215824), we get a palindrome (658727856).

The spelling of 428512032 in words is "four hundred twenty-eight million, five hundred twelve thousand, thirty-two".