328434912 has 288 divisors, whose sum is σ = 1102217760. Its totient is φ = 95738112.

The previous prime is 328434907. The next prime is 328434913. The reversal of 328434912 is 219434823.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (328434913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17286039 + ... + 17286057.

It is an arithmetic number, because the mean of its divisors is an integer number (3827145).

Almost surely, 2^328434912 is an apocalyptic number.

328434912 is a gapful number since it is divisible by the number (32) 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 328434912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551108880).

328434912 is an abundant number, since it is smaller than the sum of its proper divisors (773782848).

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

328434912 is an equidigital number, since it uses as much as digits as its factorization.

328434912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 37 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 328434912 is about 18122.7732977047. The cubic root of 328434912 is about 689.9481246444.

The spelling of 328434912 in words is "three hundred twenty-eight million, four hundred thirty-four thousand, nine hundred twelve".