428517788805 has 32 divisors (see below), whose sum is σ = 761948563200. Its totient is φ = 228501072576.

The previous prime is 428517788791. The next prime is 428517788821. The reversal of 428517788805 is 508887715824.

428517788805 is a `hidden beast` number, since 42 + 8 + 517 + 78 + 8 + 8 + 0 + 5 = 666.

It is not a de Polignac number, because 428517788805 - 2¹⁶ = 428517723269 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458991 + ... + 1033299.

It is an arithmetic number, because the mean of its divisors is an integer number (23810892600).

Almost surely, 2^428517788805 is an apocalyptic number.

428517788805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428517788805 is a deficient number, since it is larger than the sum of its proper divisors (333430774395).

428517788805 is a wasteful number, since it uses less digits than its factorization.

428517788805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579850 (or 579844 counting only the distinct ones).

The product of its (nonzero) digits is 40140800, while the sum is 63.

The spelling of 428517788805 in words is "four hundred twenty-eight billion, five hundred seventeen million, seven hundred eighty-eight thousand, eight hundred five".