428553 has 12 divisors (see below), whose sum is σ = 655668. Its totient is φ = 268800.

The previous prime is 428551. The next prime is 428557. The reversal of 428553 is 355824.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 149769 = 528^2 + 387^2 .

It is not a de Polignac number, because 428553 - 2¹ = 428551 is a prime.

It is a d-powerful number, because it can be written as 4 + 2¹⁷ + 5² + 8⁶ + 5⁶ + 3⁹ .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (428551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1248 + ... + 1553.

It is an arithmetic number, because the mean of its divisors is an integer number (54639).

2⁴²⁸⁵⁵³ is an apocalyptic number.

It is an amenable number.

428553 is a deficient number, since it is larger than the sum of its proper divisors (227115).

428553 is a wasteful number, since it uses less digits than its factorization.

428553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2821 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 428553 is about 654.6395955027. The cubic root of 428553 is about 75.3936634394.

The spelling of 428553 in words is "four hundred twenty-eight thousand, five hundred fifty-three".