328532544000 has 640 divisors, whose sum is σ = 1253008373760. Its totient is φ = 84768768000.

The previous prime is 328532543953. The next prime is 328532544017. The reversal of 328532544000 is 445235823.

328532544000 is a `hidden beast` number, since 3 + 2 + 85 + 32 + 544 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×328532544000² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53564934 + ... + 53571066.

It is an arithmetic number, because the mean of its divisors is an integer number (1957825584).

Almost surely, 2^328532544000 is an apocalyptic number.

328532544000 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 328532544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626504186880).

328532544000 is an abundant number, since it is smaller than the sum of its proper divisors (924475829760).

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

328532544000 is an equidigital number, since it uses as much as digits as its factorization.

328532544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6206 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 328532544000 its reverse (445235823), we get a palindrome (328977779823).

The spelling of 328532544000 in words is "three hundred twenty-eight billion, five hundred thirty-two million, five hundred forty-four thousand".