537328 has 40 divisors (see below), whose sum is σ = 1178496. Its totient is φ = 235200.

The previous prime is 537307. The next prime is 537331. The reversal of 537328 is 823735.

It is a junction number, because it is equal to n+sod(n) for n = 537296 and 537305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7533 + ... + 7603.

2⁵³⁷³²⁸ 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 537328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589248).

537328 is an abundant number, since it is smaller than the sum of its proper divisors (641168).

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

537328 is a wasteful number, since it uses less digits than its factorization.

537328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 537328 is about 733.0266025186. The cubic root of 537328 is about 81.2979929476.

It can be divided in two parts, 53 and 7328, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 537328 in words is "five hundred thirty-seven thousand, three hundred twenty-eight".