428753824128 has 320 divisors, whose sum is σ = 1544028631200. Its totient is φ = 115294814208.

The previous prime is 428753824097. The next prime is 428753824129. The reversal of 428753824128 is 821428357824.

It is a happy number.

428753824128 is a `hidden beast` number, since 4 + 2 + 87 + 538 + 2 + 4 + 1 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428753824129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1060038 + ... + 1407546.

Almost surely, 2^428753824128 is an apocalyptic number.

428753824128 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 428753824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772014315600).

428753824128 is an abundant number, since it is smaller than the sum of its proper divisors (1115274807072).

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

428753824128 is a wasteful number, since it uses less digits than its factorization.

428753824128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347559 (or 347538 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 428753824128 in words is "four hundred twenty-eight billion, seven hundred fifty-three million, eight hundred twenty-four thousand, one hundred twenty-eight".