331728048 has 120 divisors (see below), whose sum is σ = 986718096. Its totient is φ = 107827200.

The previous prime is 331728043. The next prime is 331728073. The reversal of 331728048 is 840827133.

331728048 is a `hidden beast` number, since 331 + 7 + 280 + 48 = 666.

It is a super-2 number, since 2×331728048² = 220086995659780608, 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 (331728041) 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 23 ways as a sum of consecutive naturals, for example, 158368 + ... + 160448.

Almost surely, 2^331728048 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 331728048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493359048).

331728048 is an abundant number, since it is smaller than the sum of its proper divisors (654990048).

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

331728048 is a wasteful number, since it uses less digits than its factorization.

331728048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 331728048 is about 18213.4029769288. The cubic root of 331728048 is about 692.2464401193.

The spelling of 331728048 in words is "three hundred thirty-one million, seven hundred twenty-eight thousand, forty-eight".