653628 has 12 divisors (see below), whose sum is σ = 1525160. Its totient is φ = 217872.

The previous prime is 653623. The next prime is 653641. The reversal of 653628 is 826356.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 653595 and 653604.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653628.

It is not an unprimeable number, because it can be changed into a prime (653621) by changing a digit.

653628 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27223 + ... + 27246.

2⁶⁵³⁶²⁸ is an apocalyptic number.

It is an amenable number.

653628 is an abundant number, since it is smaller than the sum of its proper divisors (871532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

653628 is a wasteful number, since it uses less digits than its factorization.

653628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54476 (or 54474 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 653628 is about 808.4726340452. The cubic root of 653628 is about 86.7847765072.

The spelling of 653628 in words is "six hundred fifty-three thousand, six hundred twenty-eight".