537328224 has 72 divisors (see below), whose sum is σ = 1532578320. Its totient is φ = 178576128.

The previous prime is 537328223. The next prime is 537328229. The reversal of 537328224 is 422823735.

537328224 is a `hidden beast` number, since 5 + 373 + 282 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537328223) 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 11 ways as a sum of consecutive naturals, for example, 100794 + ... + 105990.

It is an arithmetic number, because the mean of its divisors is an integer number (21285810).

Almost surely, 2^537328224 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 537328224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766289160).

537328224 is an abundant number, since it is smaller than the sum of its proper divisors (995250096).

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

537328224 is a wasteful number, since it uses less digits than its factorization.

537328224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5572 (or 5561 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 537328224 is about 23180.3413262186. The cubic root of 537328224 is about 812.9800424470.

The spelling of 537328224 in words is "five hundred thirty-seven million, three hundred twenty-eight thousand, two hundred twenty-four".