328154320032 has 768 divisors, whose sum is σ = 1199245824000. Its totient is φ = 75948687360.

The previous prime is 328154320031. The next prime is 328154320069. The reversal of 328154320032 is 230023451823.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 328154319975 and 328154320002.

It is not an unprimeable number, because it can be changed into a prime (328154320031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 193144719 + ... + 193146417.

It is an arithmetic number, because the mean of its divisors is an integer number (1561518000).

Almost surely, 2^328154320032 is an apocalyptic number.

328154320032 is a gapful number since it is divisible by the number (32) 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 328154320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599622912000).

328154320032 is an abundant number, since it is smaller than the sum of its proper divisors (871091503968).

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

328154320032 is a wasteful number, since it uses less digits than its factorization.

328154320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 328154320032 its reverse (230023451823), we get a palindrome (558177771855).

The spelling of 328154320032 in words is "three hundred twenty-eight billion, one hundred fifty-four million, three hundred twenty thousand, thirty-two".