328354000 has 160 divisors (see below), whose sum is σ = 871756704. Its totient is φ = 118886400.

The previous prime is 328353983. The next prime is 328354007. The reversal of 328354000 is 453823.

328354000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 207705744 + 120648256 = 14412^2 + 10984^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328354007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1897914 + ... + 1898086.

Almost surely, 2^328354000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435878352).

328354000 is an abundant number, since it is smaller than the sum of its proper divisors (543402704).

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

328354000 is a wasteful number, since it uses less digits than its factorization.

328354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 328354000 is about 18120.5408307810. The cubic root of 328354000 is about 689.8914623089.

The spelling of 328354000 in words is "three hundred twenty-eight million, three hundred fifty-four thousand".