328634208 has 288 divisors, whose sum is σ = 1162377216. Its totient is φ = 85929984.

The previous prime is 328634197. The next prime is 328634209. The reversal of 328634208 is 802436823.

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

It is a super-3 number, since 3×328634208³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328634209) 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, 1473585 + ... + 1473807.

It is an arithmetic number, because the mean of its divisors is an integer number (4036032).

Almost surely, 2^328634208 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 328634208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581188608).

328634208 is an abundant number, since it is smaller than the sum of its proper divisors (833743008).

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

328634208 is a wasteful number, since it uses less digits than its factorization.

328634208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 328634208 is about 18128.2709600226. The cubic root of 328634208 is about 690.0876511210.

The spelling of 328634208 in words is "three hundred twenty-eight million, six hundred thirty-four thousand, two hundred eight".