328008312 has 64 divisors (see below), whose sum is σ = 913248000. Its totient is φ = 109082592.

The previous prime is 328008287. The next prime is 328008337. The reversal of 328008312 is 213800823.

It is an interprime number because it is at equal distance from previous prime (328008287) and next prime (328008337).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107139 + ... + 110157.

It is an arithmetic number, because the mean of its divisors is an integer number (14269500).

Almost surely, 2^328008312 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 328008312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456624000).

328008312 is an abundant number, since it is smaller than the sum of its proper divisors (585239688).

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

328008312 is a wasteful number, since it uses less digits than its factorization.

328008312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537 (or 3527 counting only the distinct ones).

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

The square root of 328008312 is about 18110.9997515322. Note that the first 3 decimals coincide. The cubic root of 328008312 is about 689.6492735521.

The spelling of 328008312 in words is "three hundred twenty-eight million, eight thousand, three hundred twelve".