328711248 has 120 divisors (see below), whose sum is σ = 973970400. Its totient is φ = 103203072.

The previous prime is 328711223. The next prime is 328711261. The reversal of 328711248 is 842117823.

328711248 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 (36).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 867123 + ... + 867501.

It is an arithmetic number, because the mean of its divisors is an integer number (8116420).

Almost surely, 2^328711248 is an apocalyptic number.

328711248 is a gapful number since it is divisible by the number (38) 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 328711248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486985200).

328711248 is an abundant number, since it is smaller than the sum of its proper divisors (645259152).

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

328711248 is a wasteful number, since it uses less digits than its factorization.

328711248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 720 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 328711248 is about 18130.3956934205. The cubic root of 328711248 is about 690.1415714550.

It can be divided in two parts, 3287 and 11248, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 328711248 in words is "three hundred twenty-eight million, seven hundred eleven thousand, two hundred forty-eight".