4728360 has 128 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 995328.

The previous prime is 4728349. The next prime is 4728379. The reversal of 4728360 is 638274.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 4¹¹ + 7³ + 2¹¹ + 8 + 3¹² + 6³ + 0 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10704 + ... + 11136.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

Almost surely, 2^4728360 is an apocalyptic number.

4728360 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 4728360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

4728360 is an abundant number, since it is smaller than the sum of its proper divisors (12770520).

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

4728360 is a wasteful number, since it uses less digits than its factorization.

4728360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4728360 is about 2174.4792480040. The cubic root of 4728360 is about 167.8431074945.

The spelling of 4728360 in words is "four million, seven hundred twenty-eight thousand, three hundred sixty".