541340928 has 216 divisors, whose sum is σ = 1706821760. Its totient is φ = 169205760.

The previous prime is 541340909. The next prime is 541340953. The reversal of 541340928 is 829043145.

It is a tau number, because it is divible by the number of its divisors (216).

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 = 541340892 and 541340901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1997433 + ... + 1997703.

Almost surely, 2^541340928 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 541340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853410880).

541340928 is an abundant number, since it is smaller than the sum of its proper divisors (1165480832).

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

541340928 is a wasteful number, since it uses less digits than its factorization.

541340928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 541340928 is about 23266.7343647535. The cubic root of 541340928 is about 814.9987720006.

The spelling of 541340928 in words is "five hundred forty-one million, three hundred forty thousand, nine hundred twenty-eight".