447792928 has 72 divisors (see below), whose sum is σ = 978834780. Its totient is φ = 201484800.

The previous prime is 447792901. The next prime is 447792941. The reversal of 447792928 is 829297744.

It can be written as a sum of positive squares in 2 ways, for example, as 433139344 + 14653584 = 20812^2 + 3828^2 .

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, 421518 + ... + 422578.

Almost surely, 2^447792928 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 447792928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489417390).

447792928 is an abundant number, since it is smaller than the sum of its proper divisors (531041852).

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

447792928 is a wasteful number, since it uses less digits than its factorization.

447792928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1183 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 52.

The square root of 447792928 is about 21161.1183069326. The cubic root of 447792928 is about 765.0545637246.

The spelling of 447792928 in words is "four hundred forty-seven million, seven hundred ninety-two thousand, nine hundred twenty-eight".