328358430048 has 192 divisors, whose sum is σ = 951816241152. Its totient is φ = 98291335680.

The previous prime is 328358430041. The next prime is 328358430053. The reversal of 328358430048 is 840034853823.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 328358429979 and 328358430006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328358430041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28739665 + ... + 28751087.

It is an arithmetic number, because the mean of its divisors is an integer number (4957376256).

Almost surely, 2^328358430048 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 328358430048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475908120576).

328358430048 is an abundant number, since it is smaller than the sum of its proper divisors (623457811104).

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

328358430048 is a wasteful number, since it uses less digits than its factorization.

328358430048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11777 (or 11769 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 328358430048 in words is "three hundred twenty-eight billion, three hundred fifty-eight million, four hundred thirty thousand, forty-eight".