541715328 has 384 divisors, whose sum is σ = 2016368640. Its totient is φ = 135475200.

The previous prime is 541715309. The next prime is 541715347. The reversal of 541715328 is 823517145.

541715328 is a `hidden beast` number, since 54 + 1 + 71 + 532 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (541715309) and next prime (541715347).

It is a tau number, because it is divible by the number of its divisors (384).

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 = 541715292 and 541715301.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2749726 + ... + 2749922.

It is an arithmetic number, because the mean of its divisors is an integer number (5250960).

Almost surely, 2^541715328 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 541715328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008184320).

541715328 is an abundant number, since it is smaller than the sum of its proper divisors (1474653312).

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

541715328 is a wasteful number, since it uses less digits than its factorization.

541715328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 541715328 is about 23274.7787959413. The cubic root of 541715328 is about 815.1866174082.

The spelling of 541715328 in words is "five hundred forty-one million, seven hundred fifteen thousand, three hundred twenty-eight".