201331328 has 64 divisors (see below), whose sum is σ = 456649920. Its totient is φ = 87521280.

The previous prime is 201331327. The next prime is 201331337. The reversal of 201331328 is 823133102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (201331321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29276 + ... + 35492.

It is an arithmetic number, because the mean of its divisors is an integer number (7135155).

Almost surely, 2^201331328 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 201331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228324960).

201331328 is an abundant number, since it is smaller than the sum of its proper divisors (255318592).

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

201331328 is a wasteful number, since it uses less digits than its factorization.

201331328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6265 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 201331328 is about 14189.1271049350. The cubic root of 201331328 is about 586.0982879007.

The spelling of 201331328 in words is "two hundred one million, three hundred thirty-one thousand, three hundred twenty-eight".