4447728 has 60 divisors (see below), whose sum is σ = 12660648. Its totient is φ = 1457280.

The previous prime is 4447697. The next prime is 4447739. The reversal of 4447728 is 8277444.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4⁴ + 4⁶ + 4¹¹ + 7³ + 7⁶ + 2¹⁷ + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 4447692 and 4447701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9418 + ... + 9878.

Almost surely, 2^4447728 is an apocalyptic number.

4447728 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 4447728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6330324).

4447728 is an abundant number, since it is smaller than the sum of its proper divisors (8212920).

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

4447728 is a wasteful number, since it uses less digits than its factorization.

4447728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 533 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 4447728 is about 2108.9637265728. The cubic root of 4447728 is about 164.4546180433.

The spelling of 4447728 in words is "four million, four hundred forty-seven thousand, seven hundred twenty-eight".