328128000 has 160 divisors (see below), whose sum is σ = 1091581920. Its totient is φ = 87449600.

The previous prime is 328127993. The next prime is 328128013. The reversal of 328128000 is 821823.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191146 + ... + 192854.

It is an arithmetic number, because the mean of its divisors is an integer number (6822387).

Almost surely, 2^328128000 is an apocalyptic number.

328128000 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 328128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545790960).

328128000 is an abundant number, since it is smaller than the sum of its proper divisors (763453920).

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

328128000 is an equidigital number, since it uses as much as digits as its factorization.

328128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 328128000 is about 18114.3037404146. The cubic root of 328128000 is about 689.7331461263.

Adding to 328128000 its reverse (821823), we get a palindrome (328949823).

The spelling of 328128000 in words is "three hundred twenty-eight million, one hundred twenty-eight thousand".