428224128 has 64 divisors (see below), whose sum is σ = 1197357600. Its totient is φ = 135226368.

The previous prime is 428224127. The next prime is 428224151. The reversal of 428224128 is 821422824.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428224127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22051 + ... + 36642.

Almost surely, 2^428224128 is an apocalyptic number.

428224128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

428224128 is an abundant number, since it is smaller than the sum of its proper divisors (769133472).

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

428224128 is a wasteful number, since it uses less digits than its factorization.

428224128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58729 (or 58717 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 428224128 is about 20693.5769745107. The cubic root of 428224128 is about 753.7437277983.

The spelling of 428224128 in words is "four hundred twenty-eight million, two hundred twenty-four thousand, one hundred twenty-eight".