428432501468160 has 528 divisors, whose sum is σ = 1785873662227200. Its totient is φ = 92773352374272.

The previous prime is 428432501468149. The next prime is 428432501468161. The reversal of 428432501468160 is 61864105234824.

428432501468160 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 32 + 501 + 46 + 8 + 1 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 428432501468097 and 428432501468106.

It is not an unprimeable number, because it can be changed into a prime (428432501468161) 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, 28824670 + ... + 41081949.

Almost surely, 2^{428432501468160} is an apocalyptic number.

428432501468160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428432501468160 is an abundant number, since it is smaller than the sum of its proper divisors (1357441160759040).

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

428432501468160 is a wasteful number, since it uses less digits than its factorization.

428432501468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69906676 (or 69906655 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 428432501468160 in words is "four hundred twenty-eight trillion, four hundred thirty-two billion, five hundred one million, four hundred sixty-eight thousand, one hundred sixty".