328122240 has 256 divisors, whose sum is σ = 1110412800. Its totient is φ = 82288640.

The previous prime is 328122227. The next prime is 328122247. The reversal of 328122240 is 42221823.

328122240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 328122240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328122247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3953239 + ... + 3953321.

It is an arithmetic number, because the mean of its divisors is an integer number (4337550).

Almost surely, 2^328122240 is an apocalyptic number.

328122240 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 328122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555206400).

328122240 is an abundant number, since it is smaller than the sum of its proper divisors (782290560).

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

328122240 is a wasteful number, since it uses less digits than its factorization.

328122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 328122240 is about 18114.1447493388. The cubic root of 328122240 is about 689.7291102154.

The spelling of 328122240 in words is "three hundred twenty-eight million, one hundred twenty-two thousand, two hundred forty".