428652638126080 has 960 divisors, whose sum is σ = 1164418144468992. Its totient is φ = 150680874516480.

The previous prime is 428652638126077. The next prime is 428652638126081. The reversal of 428652638126080 is 80621836256824.

It is not an unprimeable number, because it can be changed into a prime (428652638126081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202864475104 + ... + 202864477216.

Almost surely, 2^{428652638126080} is an apocalyptic number.

428652638126080 is a gapful number since it is divisible by the number (40) 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 428652638126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582209072234496).

428652638126080 is an abundant number, since it is smaller than the sum of its proper divisors (735765506342912).

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

428652638126080 is a wasteful number, since it uses less digits than its factorization.

428652638126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 61.

The spelling of 428652638126080 in words is "four hundred twenty-eight trillion, six hundred fifty-two billion, six hundred thirty-eight million, one hundred twenty-six thousand, eighty".