540067728 has 80 divisors (see below), whose sum is σ = 1417270400. Its totient is φ = 177196032.

The previous prime is 540067727. The next prime is 540067729. The reversal of 540067728 is 827760045.

It is an interprime number because it is at equal distance from previous prime (540067727) and next prime (540067729).

It is not an unprimeable number, because it can be changed into a prime (540067727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1547298 + ... + 1547646.

It is an arithmetic number, because the mean of its divisors is an integer number (17715880).

Almost surely, 2^540067728 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 540067728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708635200).

540067728 is an abundant number, since it is smaller than the sum of its proper divisors (877202672).

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

540067728 is a wasteful number, since it uses less digits than its factorization.

540067728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 540067728 is about 23239.3573060874. The cubic root of 540067728 is about 814.3593283842.

The spelling of 540067728 in words is "five hundred forty million, sixty-seven thousand, seven hundred twenty-eight".