328069724840268 has 192 divisors, whose sum is σ = 831132137472000. Its totient is φ = 100396275033600.

The previous prime is 328069724840257. The next prime is 328069724840269. The reversal of 328069724840268 is 862048427960823.

It is a super-2 number, since 2×328069724840268² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (328069724840269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 670324128 + ... + 670813368.

It is an arithmetic number, because the mean of its divisors is an integer number (4328813216000).

Almost surely, 2^{328069724840268} is an apocalyptic number.

328069724840268 is a gapful number since it is divisible by the number (38) 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 328069724840268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415566068736000).

328069724840268 is an abundant number, since it is smaller than the sum of its proper divisors (503062412631732).

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

328069724840268 is a wasteful number, since it uses less digits than its factorization.

328069724840268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490036 (or 490034 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 69.

The spelling of 328069724840268 in words is "three hundred twenty-eight trillion, sixty-nine billion, seven hundred twenty-four million, eight hundred forty thousand, two hundred sixty-eight".