428956353 has 24 divisors (see below), whose sum is σ = 709270848. Its totient is φ = 244719072.

The previous prime is 428956303. The next prime is 428956361. The reversal of 428956353 is 353659824.

428956353 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 5 + 635 + 3 = 666.

It is not a de Polignac number, because 428956353 - 2⁸ = 428956097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 428956299 and 428956308.

It is not an unprimeable number, because it can be changed into a prime (428956303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35926 + ... + 46352.

It is an arithmetic number, because the mean of its divisors is an integer number (29552952).

Almost surely, 2^428956353 is an apocalyptic number.

It is an amenable number.

428956353 is a deficient number, since it is larger than the sum of its proper divisors (280314495).

428956353 is a wasteful number, since it uses less digits than its factorization.

428956353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11093 (or 11090 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 428956353 is about 20711.2615018979. The cubic root of 428956353 is about 754.1730946425.

The spelling of 428956353 in words is "four hundred twenty-eight million, nine hundred fifty-six thousand, three hundred fifty-three".