328832147840 has 768 divisors, whose sum is σ = 1014504860160. Its totient is φ = 101154816000.

The previous prime is 328832147807. The next prime is 328832147873. The reversal of 328832147840 is 48741238823.

It is an interprime number because it is at equal distance from previous prime (328832147807) and next prime (328832147873).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1669198622 + ... + 1669198818.

It is an arithmetic number, because the mean of its divisors is an integer number (1320969870).

Almost surely, 2^328832147840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328832147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507252430080).

328832147840 is an abundant number, since it is smaller than the sum of its proper divisors (685672712320).

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

328832147840 is a wasteful number, since it uses less digits than its factorization.

328832147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 50.

The spelling of 328832147840 in words is "three hundred twenty-eight billion, eight hundred thirty-two million, one hundred forty-seven thousand, eight hundred forty".