428096448 has 448 divisors, whose sum is σ = 1536192000. Its totient is φ = 115458048.

The previous prime is 428096443. The next prime is 428096477. The reversal of 428096448 is 844690824.

428096448 is a `hidden beast` number, since 42 + 80 + 96 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428096441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7255843 + ... + 7255901.

It is an arithmetic number, because the mean of its divisors is an integer number (3429000).

Almost surely, 2^428096448 is an apocalyptic number.

428096448 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 428096448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096000).

428096448 is an abundant number, since it is smaller than the sum of its proper divisors (1108095552).

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

428096448 is a wasteful number, since it uses less digits than its factorization.

428096448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 428096448 is about 20690.4917292944. The cubic root of 428096448 is about 753.6688078679.

The spelling of 428096448 in words is "four hundred twenty-eight million, ninety-six thousand, four hundred forty-eight".