428934832128 has 896 divisors, whose sum is σ = 1473620705280. Its totient is φ = 123111014400.

The previous prime is 428934832111. The next prime is 428934832129. The reversal of 428934832128 is 821238439824.

428934832128 is a `hidden beast` number, since 4 + 2 + 89 + 348 + 3 + 212 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (428934832129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9126273001 + ... + 9126273047.

Almost surely, 2^428934832128 is an apocalyptic number.

428934832128 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 428934832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736810352640).

428934832128 is an abundant number, since it is smaller than the sum of its proper divisors (1044685873152).

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

428934832128 is an equidigital number, since it uses as much as digits as its factorization.

428934832128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 94 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 428934832128 in words is "four hundred twenty-eight billion, nine hundred thirty-four million, eight hundred thirty-two thousand, one hundred twenty-eight".