328853504 has 144 divisors (see below), whose sum is σ = 798279300. Its totient is φ = 134873088.

The previous prime is 328853489. The next prime is 328853507. The reversal of 328853504 is 405358823.

It can be written as a sum of positive squares in 2 ways, for example, as 297493504 + 31360000 = 17248^2 + 5600^2 .

It is not an unprimeable number, because it can be changed into a prime (328853507) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2910152 + ... + 2910264.

Almost surely, 2^328853504 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 328853504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399139650).

328853504 is an abundant number, since it is smaller than the sum of its proper divisors (469425796).

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

328853504 is a wasteful number, since it uses less digits than its factorization.

328853504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 328853504 is about 18134.3184046161. The cubic root of 328853504 is about 690.2411143627.

The spelling of 328853504 in words is "three hundred twenty-eight million, eight hundred fifty-three thousand, five hundred four".