628353 has 18 divisors (see below), whose sum is σ = 999362. Its totient is φ = 380160.

The previous prime is 628319. The next prime is 628357. The reversal of 628353 is 353826.

628353 is a `hidden beast` number, since 628 + 35 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 627264 + 1089 = 792^2 + 33^2 .

It is not a de Polignac number, because 628353 - 2⁶ = 628289 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (628357) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 801 + ... + 1377.

2⁶²⁸³⁵³ is an apocalyptic number.

It is an amenable number.

628353 is a deficient number, since it is larger than the sum of its proper divisors (371009).

628353 is a wasteful number, since it uses less digits than its factorization.

628353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 591 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 628353 is about 792.6872018646. The cubic root of 628353 is about 85.6514193787.

It can be divided in two parts, 6283 and 53, that added together give a palindrome (6336).

The spelling of 628353 in words is "six hundred twenty-eight thousand, three hundred fifty-three".