328440728 has 96 divisors (see below), whose sum is σ = 795355200. Its totient is φ = 125697600.

The previous prime is 328440727. The next prime is 328440733. The reversal of 328440728 is 827044823.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 328440691 and 328440700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328440727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253763 + ... + 255053.

It is an arithmetic number, because the mean of its divisors is an integer number (8284950).

Almost surely, 2^328440728 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 328440728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397677600).

328440728 is an abundant number, since it is smaller than the sum of its proper divisors (466914472).

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

328440728 is a wasteful number, since it uses less digits than its factorization.

328440728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 328440728 is about 18122.9337580867. The cubic root of 328440728 is about 689.9521972064.

The spelling of 328440728 in words is "three hundred twenty-eight million, four hundred forty thousand, seven hundred twenty-eight".