328148868600 has 480 divisors, whose sum is σ = 1311334596000. Its totient is φ = 74498227200.

The previous prime is 328148868529. The next prime is 328148868601. The reversal of 328148868600 is 6868841823.

328148868600 is a `hidden beast` number, since 3 + 2 + 81 + 488 + 6 + 86 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328148868601) 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, 16886890 + ... + 16906310.

It is an arithmetic number, because the mean of its divisors is an integer number (2731947075).

Almost surely, 2^328148868600 is an apocalyptic number.

328148868600 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 328148868600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655667298000).

328148868600 is an abundant number, since it is smaller than the sum of its proper divisors (983185727400).

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

328148868600 is a wasteful number, since it uses less digits than its factorization.

328148868600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19605 (or 19587 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 328148868600 in words is "three hundred twenty-eight billion, one hundred forty-eight million, eight hundred sixty-eight thousand, six hundred".