4728800 has 72 divisors (see below), whose sum is σ = 12092976. Its totient is φ = 1802240.

The previous prime is 4728799. The next prime is 4728883. The reversal of 4728800 is 88274.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18272 + ... + 18528.

It is an arithmetic number, because the mean of its divisors is an integer number (167958).

Almost surely, 2^4728800 is an apocalyptic number.

4728800 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 4728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046488).

4728800 is an abundant number, since it is smaller than the sum of its proper divisors (7364176).

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

4728800 is a wasteful number, since it uses less digits than its factorization.

4728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 4728800 is about 2174.5804192993. The cubic root of 4728800 is about 167.8483135756.

The spelling of 4728800 in words is "four million, seven hundred twenty-eight thousand, eight hundred".