537933824 has 96 divisors (see below), whose sum is σ = 1145289600. Its totient is φ = 252149760.

The previous prime is 537933811. The next prime is 537933829. The reversal of 537933824 is 428339735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537933829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2348942 + ... + 2349170.

It is an arithmetic number, because the mean of its divisors is an integer number (11930100).

Almost surely, 2^537933824 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 537933824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572644800).

537933824 is an abundant number, since it is smaller than the sum of its proper divisors (607355776).

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

537933824 is a wasteful number, since it uses less digits than its factorization.

537933824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 299 counting only the distinct ones).

The product of its digits is 544320, while the sum is 44.

The square root of 537933824 is about 23193.4004406426. The cubic root of 537933824 is about 813.2853529581.

The spelling of 537933824 in words is "five hundred thirty-seven million, nine hundred thirty-three thousand, eight hundred twenty-four".