8201328 has 40 divisors (see below), whose sum is σ = 21541776. Its totient is φ = 2688000.

The previous prime is 8201321. The next prime is 8201339. The reversal of 8201328 is 8231028.

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

It is a junction number, because it is equal to n+sod(n) for n = 8201298 and 8201307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1528 + ... + 4328.

Almost surely, 2^8201328 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 8201328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10770888).

8201328 is an abundant number, since it is smaller than the sum of its proper divisors (13340448).

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

8201328 is a wasteful number, since it uses less digits than its factorization.

8201328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8201328 is about 2863.7960821260. The cubic root of 8201328 is about 201.6638529155.

The spelling of 8201328 in words is "eight million, two hundred one thousand, three hundred twenty-eight".