428517375 has 128 divisors (see below), whose sum is σ = 857945088. Its totient is φ = 187200000.

The previous prime is 428517329. The next prime is 428517379. The reversal of 428517375 is 573715824.

It is not a de Polignac number, because 428517375 - 2⁹ = 428516863 is a prime.

Its product of digits (235200) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428517379) 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 127 ways as a sum of consecutive naturals, for example, 3271060 + ... + 3271190.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2^428517375 is an apocalyptic number.

428517375 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

428517375 is a wasteful number, since it uses less digits than its factorization.

428517375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 428517375 is about 20700.6612213233. The cubic root of 428517375 is about 753.9157425895.

The spelling of 428517375 in words is "four hundred twenty-eight million, five hundred seventeen thousand, three hundred seventy-five".