428186832 has 80 divisors (see below), whose sum is σ = 1129749120. Its totient is φ = 139718656.

The previous prime is 428186807. The next prime is 428186833. The reversal of 428186832 is 238681824.

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 not an unprimeable number, because it can be changed into a prime (428186833) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 482293 + ... + 483179.

It is an arithmetic number, because the mean of its divisors is an integer number (14121864).

Almost surely, 2^428186832 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 428186832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564874560).

428186832 is an abundant number, since it is smaller than the sum of its proper divisors (701562288).

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

428186832 is a wasteful number, since it uses less digits than its factorization.

428186832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1094 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 428186832 is about 20692.6758057048. The cubic root of 428186832 is about 753.7218448322.

The spelling of 428186832 in words is "four hundred twenty-eight million, one hundred eighty-six thousand, eight hundred thirty-two".