541628752 has 60 divisors (see below), whose sum is σ = 1246795200. Its totient is φ = 227172288.

The previous prime is 541628749. The next prime is 541628753. The reversal of 541628752 is 257826145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541628753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29499 + ... + 44197.

It is an arithmetic number, because the mean of its divisors is an integer number (20779920).

Almost surely, 2^541628752 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 541628752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623397600).

541628752 is an abundant number, since it is smaller than the sum of its proper divisors (705166448).

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

541628752 is a wasteful number, since it uses less digits than its factorization.

541628752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14768 (or 14755 counting only the distinct ones).

The product of its digits is 134400, while the sum is 40.

The square root of 541628752 is about 23272.9188543251. The cubic root of 541628752 is about 815.1431878594.

The spelling of 541628752 in words is "five hundred forty-one million, six hundred twenty-eight thousand, seven hundred fifty-two".