328387430400 has 288 divisors, whose sum is σ = 1088660008800. Its totient is φ = 87323443200.

The previous prime is 328387430389. The next prime is 328387430417. The reversal of 328387430400 is 4034783823.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58211580 + ... + 58217220.

It is an arithmetic number, because the mean of its divisors is an integer number (3780069475).

Almost surely, 2^328387430400 is an apocalyptic number.

328387430400 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 328387430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544330004400).

328387430400 is an abundant number, since it is smaller than the sum of its proper divisors (760272578400).

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

328387430400 is a wasteful number, since it uses less digits than its factorization.

328387430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6055 (or 6030 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 328387430400 in words is "three hundred twenty-eight billion, three hundred eighty-seven million, four hundred thirty thousand, four hundred".