328889106 has 256 divisors, whose sum is σ = 990904320. Its totient is φ = 78382080.

The previous prime is 328889081. The next prime is 328889153. The reversal of 328889106 is 601988823.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2589615 + ... + 2589741.

It is an arithmetic number, because the mean of its divisors is an integer number (3870720).

Almost surely, 2^328889106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328889106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495452160).

328889106 is an abundant number, since it is smaller than the sum of its proper divisors (662015214).

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

328889106 is a wasteful number, since it uses less digits than its factorization.

328889106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 328889106 is about 18135.2999975187. The cubic root of 328889106 is about 690.2660221885.

The spelling of 328889106 in words is "three hundred twenty-eight million, eight hundred eighty-nine thousand, one hundred six".