428381448 has 128 divisors (see below), whose sum is σ = 1260403200. Its totient is φ = 119923200.

The previous prime is 428381423. The next prime is 428381479. The reversal of 428381448 is 844183824.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204615 + ... + 206697.

It is an arithmetic number, because the mean of its divisors is an integer number (9846900).

Almost surely, 2^428381448 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 428381448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630201600).

428381448 is an abundant number, since it is smaller than the sum of its proper divisors (832021752).

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

428381448 is a wasteful number, since it uses less digits than its factorization.

428381448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2159 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 428381448 is about 20697.3778049298. The cubic root of 428381448 is about 753.8360193791.

The spelling of 428381448 in words is "four hundred twenty-eight million, three hundred eighty-one thousand, four hundred forty-eight".