541639728 has 180 divisors, whose sum is σ = 1824816240. Its totient is φ = 149361408.

The previous prime is 541639727. The next prime is 541639741. The reversal of 541639728 is 827936145.

541639728 is a `hidden beast` number, since 5 + 4 + 1 + 639 + 7 + 2 + 8 = 666.

Its product of digits (362880) is a multiple of the sum of its prime divisors (2688).

It is not an unprimeable number, because it can be changed into a prime (541639723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 203301 + ... + 205947.

It is an arithmetic number, because the mean of its divisors is an integer number (10137868).

Almost surely, 2^541639728 is an apocalyptic number.

541639728 is a gapful number since it is divisible by the number (58) 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 541639728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912408120).

541639728 is an abundant number, since it is smaller than the sum of its proper divisors (1283176512).

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

541639728 is a wasteful number, since it uses less digits than its factorization.

541639728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2688 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 541639728 is about 23273.1546636892. The cubic root of 541639728 is about 815.1486940610.

The spelling of 541639728 in words is "five hundred forty-one million, six hundred thirty-nine thousand, seven hundred twenty-eight".