328175295552 has 448 divisors, whose sum is σ = 1059699379200. Its totient is φ = 98985369600.

The previous prime is 328175295551. The next prime is 328175295607. The reversal of 328175295552 is 255592571823.

328175295552 is a `hidden beast` number, since 3 + 2 + 8 + 17 + 529 + 55 + 52 = 666.

It is a super-2 number, since 2×328175295552² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (328175295551) 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, 247305513 + ... + 247306839.

It is an arithmetic number, because the mean of its divisors is an integer number (2365400400).

Almost surely, 2^328175295552 is an apocalyptic number.

328175295552 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 328175295552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529849689600).

328175295552 is an abundant number, since it is smaller than the sum of its proper divisors (731524083648).

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

328175295552 is a wasteful number, since it uses less digits than its factorization.

328175295552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1555 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 54.

The spelling of 328175295552 in words is "three hundred twenty-eight billion, one hundred seventy-five million, two hundred ninety-five thousand, five hundred fifty-two".