541790928 has 120 divisors (see below), whose sum is σ = 1824139200. Its totient is φ = 146644992.

The previous prime is 541790917. The next prime is 541790929. The reversal of 541790928 is 829097145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541790929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5008 + ... + 33296.

It is an arithmetic number, because the mean of its divisors is an integer number (15201160).

Almost surely, 2^541790928 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 541790928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912069600).

541790928 is an abundant number, since it is smaller than the sum of its proper divisors (1282348272).

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

541790928 is a wasteful number, since it uses less digits than its factorization.

541790928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28329 (or 28320 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 541790928 is about 23276.4028148681. The cubic root of 541790928 is about 815.2245372272.

The spelling of 541790928 in words is "five hundred forty-one million, seven hundred ninety thousand, nine hundred twenty-eight".