328042000 has 320 divisors, whose sum is σ = 987936768. Its totient is φ = 103680000.

The previous prime is 328041899. The next prime is 328042007. The reversal of 328042000 is 240823.

It is a happy number.

328042000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×328042000² = 215223107528000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (328042007) 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 63 ways as a sum of consecutive naturals, for example, 8865982 + ... + 8866018.

Almost surely, 2^328042000 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 328042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493968384).

328042000 is an abundant number, since it is smaller than the sum of its proper divisors (659894768).

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

328042000 is a wasteful number, since it uses less digits than its factorization.

328042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 328042000 is about 18111.9297701819. The cubic root of 328042000 is about 689.6728828211.

Adding to 328042000 its reverse (240823), we get a palindrome (328282823).

The spelling of 328042000 in words is "three hundred twenty-eight million, forty-two thousand".