328644000 has 384 divisors, whose sum is σ = 1273708800. Its totient is φ = 82022400.

The previous prime is 328643993. The next prime is 328644013. The reversal of 328644000 is 446823.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1835911 + ... + 1836089.

It is an arithmetic number, because the mean of its divisors is an integer number (3316950).

Almost surely, 2^328644000 is an apocalyptic number.

328644000 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 328644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636854400).

328644000 is an abundant number, since it is smaller than the sum of its proper divisors (945064800).

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

328644000 is a wasteful number, since it uses less digits than its factorization.

328644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 328644000 is about 18128.5410334092. The cubic root of 328644000 is about 690.0945050141.

It can be divided in two parts, 32864 and 4000, that added together give a square (36864 = 192²).

The spelling of 328644000 in words is "three hundred twenty-eight million, six hundred forty-four thousand".