2967328 has 48 divisors (see below), whose sum is σ = 7197120. Its totient is φ = 1172736.

The previous prime is 2967323. The next prime is 2967329. The reversal of 2967328 is 8237692.

It is not an unprimeable number, because it can be changed into a prime (2967323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2403 + ... + 3421.

It is an arithmetic number, because the mean of its divisors is an integer number (149940).

2^2967328 is an apocalyptic number.

2967328 is a gapful number since it is divisible by the number (28) 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 2967328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598560).

2967328 is an abundant number, since it is smaller than the sum of its proper divisors (4229792).

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

2967328 is a wasteful number, since it uses less digits than its factorization.

2967328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1041 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 2967328 is about 1722.5933936945. The cubic root of 2967328 is about 143.6994761323.

The spelling of 2967328 in words is "two million, nine hundred sixty-seven thousand, three hundred twenty-eight".