653928 has 32 divisors (see below), whose sum is σ = 1784160. Its totient is φ = 198080.

The previous prime is 653927. The next prime is 653929. The reversal of 653928 is 829356.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (653927) and next prime (653929).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653928.

It is not an unprimeable number, because it can be changed into a prime (653927) by changing a digit.

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, 975 + ... + 1502.

It is an arithmetic number, because the mean of its divisors is an integer number (55755).

2⁶⁵³⁹²⁸ is an apocalyptic number.

It is an amenable number.

653928 is an abundant number, since it is smaller than the sum of its proper divisors (1130232).

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

653928 is a wasteful number, since it uses less digits than its factorization.

653928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2493 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 653928 is about 808.6581477979. The cubic root of 653928 is about 86.7980518722.

It can be divided in two parts, 65 and 3928, that added together give a palindrome (3993).

The spelling of 653928 in words is "six hundred fifty-three thousand, nine hundred twenty-eight".