428117599791 has 48 divisors (see below), whose sum is σ = 756021075264. Its totient is φ = 227874373632.

The previous prime is 428117599781. The next prime is 428117599799. The reversal of 428117599791 is 197995711824.

428117599791 is a `hidden beast` number, since 4 + 28 + 1 + 17 + 599 + 7 + 9 + 1 = 666.

It is not a de Polignac number, because 428117599791 - 2¹⁴ = 428117583407 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428117599799) 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, 1956610 + ... + 2164383.

It is an arithmetic number, because the mean of its divisors is an integer number (15750439068).

Almost surely, 2^428117599791 is an apocalyptic number.

428117599791 is a deficient number, since it is larger than the sum of its proper divisors (327903475473).

428117599791 is a wasteful number, since it uses less digits than its factorization.

428117599791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121120 (or 4121117 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 63.

The spelling of 428117599791 in words is "four hundred twenty-eight billion, one hundred seventeen million, five hundred ninety-nine thousand, seven hundred ninety-one".