541728 has 120 divisors (see below), whose sum is σ = 1829520. Its totient is φ = 155520.

The previous prime is 541727. The next prime is 541759. The reversal of 541728 is 827145.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2240) is a multiple of the sum of its prime divisors (35).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 541728.

It is not an unprimeable number, because it can be changed into a prime (541721) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28503 + ... + 28521.

It is an arithmetic number, because the mean of its divisors is an integer number (15246).

2⁵⁴¹⁷²⁸ 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 541728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914760).

541728 is an abundant number, since it is smaller than the sum of its proper divisors (1287792).

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

541728 is a wasteful number, since it uses less digits than its factorization.

541728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 35 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 541728 is about 736.0217388094. The cubic root of 541728 is about 81.5192973738.

It can be divided in two parts, 5417 and 28, that added together give a palindrome (5445).

The spelling of 541728 in words is "five hundred forty-one thousand, seven hundred twenty-eight".