540116928 has 168 divisors, whose sum is σ = 1765724688. Its totient is φ = 156377088.

The previous prime is 540116893. The next prime is 540116953. The reversal of 540116928 is 829611045.

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 = 540116892 and 540116901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125175 + ... + 129417.

It is an arithmetic number, because the mean of its divisors is an integer number (10510266).

Almost surely, 2^540116928 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 540116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882862344).

540116928 is an abundant number, since it is smaller than the sum of its proper divisors (1225607760).

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

540116928 is a wasteful number, since it uses less digits than its factorization.

540116928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 540116928 is about 23240.4158310474. The cubic root of 540116928 is about 814.3840569261.

The spelling of 540116928 in words is "five hundred forty million, one hundred sixteen thousand, nine hundred twenty-eight".