653428 has 24 divisors (see below), whose sum is σ = 1219680. Its totient is φ = 305760.

The previous prime is 653363. The next prime is 653431. The reversal of 653428 is 824356.

It is a junction number, because it is equal to n+sod(n) for n = 653396 and 653405.

It is a congruent number.

It is an unprimeable number.

653428 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4923 + ... + 5053.

It is an arithmetic number, because the mean of its divisors is an integer number (50820).

2⁶⁵³⁴²⁸ is an apocalyptic number.

It is an amenable number.

653428 is a deficient number, since it is larger than the sum of its proper divisors (566252).

653428 is a wasteful number, since it uses less digits than its factorization.

653428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 205 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 653428 is about 808.3489345573. The cubic root of 653428 is about 86.7759240070.

It can be divided in two parts, 653 and 428, that added together give a triangular number (1081 = T₄₆).

The spelling of 653428 in words is "six hundred fifty-three thousand, four hundred twenty-eight".