128428443162432 has 336 divisors, whose sum is σ = 439222850280000. Its totient is φ = 36691732159488.

The previous prime is 128428443162431. The next prime is 128428443162449. The reversal of 128428443162432 is 234261344824821.

128428443162432 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 2 + 8 + 4 + 4 + 3 + 1 + 624 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128428443162431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2033705194 + ... + 2033768342.

Almost surely, 2^{128428443162432} is an apocalyptic number.

128428443162432 is a gapful number since it is divisible by the number (12) 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 128428443162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219611425140000).

128428443162432 is an abundant number, since it is smaller than the sum of its proper divisors (310794407117568).

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

128428443162432 is a wasteful number, since it uses less digits than its factorization.

128428443162432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87203 (or 87180 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 54.

The spelling of 128428443162432 in words is "one hundred twenty-eight trillion, four hundred twenty-eight billion, four hundred forty-three million, one hundred sixty-two thousand, four hundred thirty-two".