448829728 has 48 divisors (see below), whose sum is σ = 925888320. Its totient is φ = 213765376.

The previous prime is 448829713. The next prime is 448829729. The reversal of 448829728 is 827928844.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (448829729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196851 + ... + 199117.

It is an arithmetic number, because the mean of its divisors is an integer number (19289340).

Almost surely, 2^448829728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448829728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462944160).

448829728 is an abundant number, since it is smaller than the sum of its proper divisors (477058592).

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

448829728 is a wasteful number, since it uses less digits than its factorization.

448829728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2561 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 52.

The square root of 448829728 is about 21185.6019031794. The cubic root of 448829728 is about 765.6445664704.

The spelling of 448829728 in words is "four hundred forty-eight million, eight hundred twenty-nine thousand, seven hundred twenty-eight".