328129360 has 80 divisors (see below), whose sum is σ = 837227664. Its totient is φ = 118849536.

The previous prime is 328129343. The next prime is 328129363. The reversal of 328129360 is 63921823.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 75064896 + 253064464 = 8664^2 + 15908^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328129363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52144 + ... + 58096.

Almost surely, 2^328129360 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 328129360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418613832).

328129360 is an abundant number, since it is smaller than the sum of its proper divisors (509098304).

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

328129360 is a wasteful number, since it uses less digits than its factorization.

328129360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032 (or 6026 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 328129360 is about 18114.3412797706. The cubic root of 328129360 is about 689.7340990429.

The spelling of 328129360 in words is "three hundred twenty-eight million, one hundred twenty-nine thousand, three hundred sixty".