328205365020 has 1152 divisors, whose sum is σ = 1235170944000. Its totient is φ = 72007004160.

The previous prime is 328205365013. The next prime is 328205365043. The reversal of 328205365020 is 20563502823.

328205365020 is a `hidden beast` number, since 32 + 8 + 20 + 536 + 50 + 20 = 666.

It is a super-2 number, since 2×328205365020² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3067339807 + ... + 3067339913.

It is an arithmetic number, because the mean of its divisors is an integer number (1072197000).

Almost surely, 2^328205365020 is an apocalyptic number.

328205365020 is a gapful number since it is divisible by the number (30) 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 328205365020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617585472000).

328205365020 is an abundant number, since it is smaller than the sum of its proper divisors (906965578980).

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

328205365020 is a wasteful number, since it uses less digits than its factorization.

328205365020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 328205365020 its reverse (20563502823), we get a palindrome (348768867843).

The spelling of 328205365020 in words is "three hundred twenty-eight billion, two hundred five million, three hundred sixty-five thousand, twenty".