328239120 has 240 divisors, whose sum is σ = 1139927040. Its totient is φ = 78059520.

The previous prime is 328239101. The next prime is 328239127. The reversal of 328239120 is 21932823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328239127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2584497 + ... + 2584623.

It is an arithmetic number, because the mean of its divisors is an integer number (4749696).

Almost surely, 2^328239120 is an apocalyptic number.

328239120 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 328239120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569963520).

328239120 is an abundant number, since it is smaller than the sum of its proper divisors (811687920).

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

328239120 is a wasteful number, since it uses less digits than its factorization.

328239120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 328239120 is about 18117.3706701607. The cubic root of 328239120 is about 689.8109963323.

The spelling of 328239120 in words is "three hundred twenty-eight million, two hundred thirty-nine thousand, one hundred twenty".