328933517220 has 1920 divisors, whose sum is σ = 1447535738880. Its totient is φ = 60970060800.

The previous prime is 328933517219. The next prime is 328933517221. The reversal of 328933517220 is 22715339823.

328933517220 is a `hidden beast` number, since 3 + 2 + 89 + 33 + 517 + 2 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (328933517219) and next prime (328933517221).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (328933517221) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 8890095042 + ... + 8890095078.

It is an arithmetic number, because the mean of its divisors is an integer number (753924864).

Almost surely, 2^328933517220 is an apocalyptic number.

328933517220 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 328933517220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723767869440).

328933517220 is an abundant number, since it is smaller than the sum of its proper divisors (1118602221660).

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

328933517220 is a wasteful number, since it uses less digits than its factorization.

328933517220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 328933517220 in words is "three hundred twenty-eight billion, nine hundred thirty-three million, five hundred seventeen thousand, two hundred twenty".