328362645000 has 640 divisors, whose sum is σ = 1150421247360. Its totient is φ = 77552640000.

The previous prime is 328362644971. The next prime is 328362645001. The reversal of 328362645000 is 546263823.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 328362645000.

It is not an unprimeable number, because it can be changed into a prime (328362645001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 535664694 + ... + 535665306.

It is an arithmetic number, because the mean of its divisors is an integer number (1797533199).

Almost surely, 2^328362645000 is an apocalyptic number.

328362645000 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 328362645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575210623680).

328362645000 is an abundant number, since it is smaller than the sum of its proper divisors (822058602360).

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

328362645000 is a wasteful number, since it uses less digits than its factorization.

328362645000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 328362645000 in words is "three hundred twenty-eight billion, three hundred sixty-two million, six hundred forty-five thousand".