331920288 has 96 divisors (see below), whose sum is σ = 1106421120. Its totient is φ = 94832640.

The previous prime is 331920287. The next prime is 331920299. The reversal of 331920288 is 882029133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×331920288² = 220342155172005888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (331920287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21393 + ... + 33488.

It is an arithmetic number, because the mean of its divisors is an integer number (11525220).

Almost surely, 2^331920288 is an apocalyptic number.

It is an amenable number.

331920288 is an abundant number, since it is smaller than the sum of its proper divisors (774500832).

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

331920288 is a wasteful number, since it uses less digits than its factorization.

331920288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54907 (or 54893 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 331920288 is about 18218.6796448041. The cubic root of 331920288 is about 692.3801357355.

The spelling of 331920288 in words is "three hundred thirty-one million, nine hundred twenty thousand, two hundred eighty-eight".