537892992 has 288 divisors, whose sum is σ = 1941701580. Its totient is φ = 141668352.

The previous prime is 537892987. The next prime is 537893009. The reversal of 537892992 is 299298735.

537892992 is a `hidden beast` number, since 537 + 89 + 29 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 529736256 + 8156736 = 23016^2 + 2856^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 733458 + ... + 734190.

Almost surely, 2^537892992 is an apocalyptic number.

537892992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537892992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970850790).

537892992 is an abundant number, since it is smaller than the sum of its proper divisors (1403808588).

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

537892992 is a wasteful number, since it uses less digits than its factorization.

537892992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 758 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 537892992 is about 23192.5201735387. The cubic root of 537892992 is about 813.2647748954.

The spelling of 537892992 in words is "five hundred thirty-seven million, eight hundred ninety-two thousand, nine hundred ninety-two".