540592128 has 144 divisors (see below), whose sum is σ = 1580014800. Its totient is φ = 178053120.

The previous prime is 540592127. The next prime is 540592177. The reversal of 540592128 is 821295045.

540592128 is a `hidden beast` number, since 5 + 40 + 592 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 540592092 and 540592101.

It is not an unprimeable number, because it can be changed into a prime (540592127) by changing a digit.

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, 2561943 + ... + 2562153.

It is an arithmetic number, because the mean of its divisors is an integer number (10972325).

Almost surely, 2^540592128 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 540592128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790007400).

540592128 is an abundant number, since it is smaller than the sum of its proper divisors (1039422672).

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

540592128 is a wasteful number, since it uses less digits than its factorization.

540592128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 540592128 is about 23250.6371525599. The cubic root of 540592128 is about 814.6228211919.

The spelling of 540592128 in words is "five hundred forty million, five hundred ninety-two thousand, one hundred twenty-eight".