328006838016 has 1080 divisors, whose sum is σ = 1181836744704. Its totient is φ = 89669099520.

The previous prime is 328006837997. The next prime is 328006838017. The reversal of 328006838016 is 610838600823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328006838017) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2582730945 + ... + 2582731071.

Almost surely, 2^328006838016 is an apocalyptic number.

328006838016 is a gapful number since it is divisible by the number (36) 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 328006838016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590918372352).

328006838016 is an abundant number, since it is smaller than the sum of its proper divisors (853829906688).

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

328006838016 is a wasteful number, since it uses less digits than its factorization.

328006838016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 328006838016 in words is "three hundred twenty-eight billion, six million, eight hundred thirty-eight thousand, sixteen".