541682328 has 64 divisors (see below), whose sum is σ = 1479928320. Its totient is φ = 163856000.

The previous prime is 541682327. The next prime is 541682353. The reversal of 541682328 is 823286145.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541682327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183601 + ... + 186527.

It is an arithmetic number, because the mean of its divisors is an integer number (23123880).

Almost surely, 2^541682328 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 541682328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739964160).

541682328 is an abundant number, since it is smaller than the sum of its proper divisors (938245992).

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

541682328 is a wasteful number, since it uses less digits than its factorization.

541682328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3644 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 541682328 is about 23274.0698632620. The cubic root of 541682328 is about 815.1700640001.

The spelling of 541682328 in words is "five hundred forty-one million, six hundred eighty-two thousand, three hundred twenty-eight".