4728320 has 40 divisors (see below), whose sum is σ = 11343024. Its totient is φ = 1890304.

The previous prime is 4728313. The next prime is 4728343. The reversal of 4728320 is 238274.

It is a tau number, because it is divible by the number of its divisors (40).

It is a d-powerful number, because it can be written as 4¹¹ + 7 + 2⁹ + 8 + 3¹² + 2¹¹ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 4728320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1637 + ... + 3483.

Almost surely, 2^4728320 is an apocalyptic number.

4728320 is a gapful number since it is divisible by the number (40) 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 4728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671512).

4728320 is an abundant number, since it is smaller than the sum of its proper divisors (6614704).

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

4728320 is an equidigital number, since it uses as much as digits as its factorization.

4728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 4728320 is about 2174.4700503801. The cubic root of 4728320 is about 167.8426341984.

The spelling of 4728320 in words is "four million, seven hundred twenty-eight thousand, three hundred twenty".