328410028800 has 1296 divisors, whose sum is σ = 1410440059392. Its totient is φ = 74052403200.

The previous prime is 328410028789. The next prime is 328410028801. The reversal of 328410028800 is 8820014823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is not an unprimeable number, because it can be changed into a prime (328410028801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1055980645 + ... + 1055980955.

Almost surely, 2^328410028800 is an apocalyptic number.

328410028800 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 328410028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705220029696).

328410028800 is an abundant number, since it is smaller than the sum of its proper divisors (1082030030592).

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

328410028800 is an equidigital number, since it uses as much as digits as its factorization.

328410028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 328410028800 in words is "three hundred twenty-eight billion, four hundred ten million, twenty-eight thousand, eight hundred".