328180320 has 288 divisors, whose sum is σ = 1235025792. Its totient is φ = 78852096.

The previous prime is 328180313. The next prime is 328180339. The reversal of 328180320 is 23081823.

328180320 is a `hidden beast` number, since 328 + 18 + 0 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 879654 + ... + 880026.

It is an arithmetic number, because the mean of its divisors is an integer number (4288284).

Almost surely, 2^328180320 is an apocalyptic number.

328180320 is a gapful number since it is divisible by the number (30) 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 328180320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617512896).

328180320 is an abundant number, since it is smaller than the sum of its proper divisors (906845472).

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

328180320 is a wasteful number, since it uses less digits than its factorization.

328180320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 328180320 is about 18115.7478454520. The cubic root of 328180320 is about 689.7698034881.

It can be divided in two parts, 3281803 and 20, that added together give a palindrome (3281823).

The spelling of 328180320 in words is "three hundred twenty-eight million, one hundred eighty thousand, three hundred twenty".