328444272 has 120 divisors (see below), whose sum is σ = 1011226944. Its totient is φ = 98883072.

The previous prime is 328444271. The next prime is 328444273. The reversal of 328444272 is 272444823.

It is an interprime number because it is at equal distance from previous prime (328444271) and next prime (328444273).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328444271) 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, 86118 + ... + 89850.

Almost surely, 2^328444272 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 328444272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505613472).

328444272 is an abundant number, since it is smaller than the sum of its proper divisors (682782672).

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

328444272 is a wasteful number, since it uses less digits than its factorization.

328444272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3798 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 328444272 is about 18123.0315344867. The cubic root of 328444272 is about 689.9546788128.

The spelling of 328444272 in words is "three hundred twenty-eight million, four hundred forty-four thousand, two hundred seventy-two".