328102009200 has 720 divisors, whose sum is σ = 1383256942080. Its totient is φ = 70347294720.

The previous prime is 328102009093. The next prime is 328102009229. The reversal of 328102009200 is 2900201823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49313074 + ... + 49319726.

Almost surely, 2^328102009200 is an apocalyptic number.

328102009200 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 328102009200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691628471040).

328102009200 is an abundant number, since it is smaller than the sum of its proper divisors (1055154932880).

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

328102009200 is a wasteful number, since it uses less digits than its factorization.

328102009200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6806 (or 6792 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 328102009200 in words is "three hundred twenty-eight billion, one hundred two million, nine thousand, two hundred".