53628 has 24 divisors (see below), whose sum is σ = 129360. Its totient is φ = 17280.

The previous prime is 53623. The next prime is 53629. The reversal of 53628 is 82635.

53628 is a nontrivial binomial coefficient, being equal to C(328, 2).

It is a d-powerful number, because it can be written as 5⁴ + 3⁷ + 6⁶ + 2¹² + 8² .

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 53598 and 53607.

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 53628.

It is not an unprimeable number, because it can be changed into a prime (53623) by changing a digit.

53628 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 7 ways as a sum of consecutive naturals, for example, 438 + ... + 546.

It is an arithmetic number, because the mean of its divisors is an integer number (5390).

2⁵³⁶²⁸ is an apocalyptic number.

53628 is the 327-th triangular number and also the 164-th hexagonal number.

It is an amenable number.

53628 is an abundant number, since it is smaller than the sum of its proper divisors (75732).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64680).

53628 is a wasteful number, since it uses less digits than its factorization.

53628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 53628 is about 231.5772009504. The cubic root of 53628 is about 37.7106368633.

The spelling of 53628 in words is "fifty-three thousand, six hundred twenty-eight".