4967328 has 48 divisors (see below), whose sum is σ = 13275360. Its totient is φ = 1625856.

The previous prime is 4967321. The next prime is 4967329. The reversal of 4967328 is 8237694.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4967321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5226 + ... + 6102.

It is an arithmetic number, because the mean of its divisors is an integer number (276570).

Almost surely, 2^4967328 is an apocalyptic number.

4967328 is a gapful number since it is divisible by the number (48) 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 4967328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6637680).

4967328 is an abundant number, since it is smaller than the sum of its proper divisors (8308032).

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

4967328 is a wasteful number, since it uses less digits than its factorization.

4967328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 941 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 4967328 is about 2228.7503224902. The cubic root of 4967328 is about 170.6243248910.

The spelling of 4967328 in words is "four million, nine hundred sixty-seven thousand, three hundred twenty-eight".