330728832 has 384 divisors, whose sum is σ = 1188096000. Its totient is φ = 91445760.

The previous prime is 330728831. The next prime is 330728833. The reversal of 330728832 is 238827033.

It is an interprime number because it is at equal distance from previous prime (330728831) and next prime (330728833).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330728831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10668657 + ... + 10668687.

It is an arithmetic number, because the mean of its divisors is an integer number (3094000).

Almost surely, 2^330728832 is an apocalyptic number.

330728832 is a gapful number since it is divisible by the number (32) 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 330728832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594048000).

330728832 is an abundant number, since it is smaller than the sum of its proper divisors (857367168).

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

330728832 is an frugal number, since it uses more digits than its factorization.

330728832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 330728832 is about 18185.9515010901. The cubic root of 330728832 is about 691.5506900979.

The spelling of 330728832 in words is "three hundred thirty million, seven hundred twenty-eight thousand, eight hundred thirty-two".