328890 has 32 divisors (see below), whose sum is σ = 832320. Its totient is φ = 82944.

The previous prime is 328883. The next prime is 328891. The reversal of 328890 is 98823.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (328891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282 + ... + 858.

It is an arithmetic number, because the mean of its divisors is an integer number (26010).

2³²⁸⁸⁹⁰ is an apocalyptic number.

328890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 328890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416160).

328890 is an abundant number, since it is smaller than the sum of its proper divisors (503430).

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

328890 is a wasteful number, since it uses less digits than its factorization.

328890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 328890 is about 573.4893198657. The cubic root of 328890 is about 69.0266647624.

The spelling of 328890 in words is "three hundred twenty-eight thousand, eight hundred ninety".