537628 has 36 divisors (see below), whose sum is σ = 1184232. Its totient is φ = 211680.

The previous prime is 537611. The next prime is 537637. The reversal of 537628 is 826735.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 537628.

It is a congruent number.

It is an unprimeable number.

537628 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2443 + ... + 2653.

2⁵³⁷⁶²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592116).

537628 is an abundant number, since it is smaller than the sum of its proper divisors (646604).

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

537628 is a wasteful number, since it uses less digits than its factorization.

537628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 537628 is about 733.2312050097. The cubic root of 537628 is about 81.3131201823.

The spelling of 537628 in words is "five hundred thirty-seven thousand, six hundred twenty-eight".