328748380800 has 384 divisors, whose sum is σ = 1263844823040. Its totient is φ = 73543004160.

The previous prime is 328748380789. The next prime is 328748380861. The reversal of 328748380800 is 8083847823.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3106357 + ... + 3210443.

It is an arithmetic number, because the mean of its divisors is an integer number (3291262560).

Almost surely, 2^328748380800 is an apocalyptic number.

328748380800 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 328748380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631922411520).

328748380800 is an abundant number, since it is smaller than the sum of its proper divisors (935096442240).

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

328748380800 is a wasteful number, since it uses less digits than its factorization.

328748380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104168 (or 104151 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 328748380800 in words is "three hundred twenty-eight billion, seven hundred forty-eight million, three hundred eighty thousand, eight hundred".