428689593 has 12 divisors (see below), whose sum is σ = 626176980. Its totient is φ = 282581376.

The previous prime is 428689579. The next prime is 428689601. The reversal of 428689593 is 395986824.

428689593 is a `hidden beast` number, since 42 + 8 + 6 + 8 + 9 + 593 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 200165904 + 228523689 = 14148^2 + 15117^2 .

It is not a de Polignac number, because 428689593 - 2⁶ = 428689529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428689523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266796 + ... + 268397.

It is an arithmetic number, because the mean of its divisors is an integer number (52181415).

Almost surely, 2^428689593 is an apocalyptic number.

It is an amenable number.

428689593 is a deficient number, since it is larger than the sum of its proper divisors (197487387).

428689593 is a wasteful number, since it uses less digits than its factorization.

428689593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535288 (or 535285 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 428689593 is about 20704.8205256650. The cubic root of 428689593 is about 754.0167268040.

The spelling of 428689593 in words is "four hundred twenty-eight million, six hundred eighty-nine thousand, five hundred ninety-three".