328968417600 has 252 divisors, whose sum is σ = 1173559857600. Its totient is φ = 87400166400.

The previous prime is 328968417577. The next prime is 328968417611. The reversal of 328968417600 is 6714869823.

328968417600 is a `hidden beast` number, since 3 + 28 + 9 + 6 + 8 + 4 + 1 + 7 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3860251 + ... + 3944549.

Almost surely, 2^328968417600 is an apocalyptic number.

328968417600 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 328968417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586779928800).

328968417600 is an abundant number, since it is smaller than the sum of its proper divisors (844591440000).

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

328968417600 is a wasteful number, since it uses less digits than its factorization.

328968417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84598 (or 84580 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 328968417600 in words is "three hundred twenty-eight billion, nine hundred sixty-eight million, four hundred seventeen thousand, six hundred".