428216448 has 64 divisors (see below), whose sum is σ = 1240866720. Its totient is φ = 129761280.

The previous prime is 428216447. The next prime is 428216473. The reversal of 428216448 is 844612824.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (428216443) 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, 46465 + ... + 54912.

Almost surely, 2^428216448 is an apocalyptic number.

428216448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

428216448 is an abundant number, since it is smaller than the sum of its proper divisors (812650272).

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

428216448 is a wasteful number, since it uses less digits than its factorization.

428216448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101405 (or 101393 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 428216448 is about 20693.3914088532. The cubic root of 428216448 is about 753.7392217573.

The spelling of 428216448 in words is "four hundred twenty-eight million, two hundred sixteen thousand, four hundred forty-eight".