328945041408 has 204 divisors, whose sum is σ = 906909608904. Its totient is φ = 106050355200.

The previous prime is 328945041407. The next prime is 328945041421. The reversal of 328945041408 is 804140549823.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328945041407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188939418 + ... + 188941158.

Almost surely, 2^328945041408 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 328945041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453454804452).

328945041408 is an abundant number, since it is smaller than the sum of its proper divisors (577964567496).

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

328945041408 is an frugal number, since it uses more digits than its factorization.

328945041408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 328945041408 in words is "three hundred twenty-eight billion, nine hundred forty-five million, forty-one thousand, four hundred eight".