52045728 has 96 divisors (see below), whose sum is σ = 160030080. Its totient is φ = 14499840.

The previous prime is 52045723. The next prime is 52045733. The reversal of 52045728 is 82754025.

It is an interprime number because it is at equal distance from previous prime (52045723) and next prime (52045733).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (52045723) 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, 26608 + ... + 28496.

It is an arithmetic number, because the mean of its divisors is an integer number (1666980).

Almost surely, 2^52045728 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 52045728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80015040).

52045728 is an abundant number, since it is smaller than the sum of its proper divisors (107984352).

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

52045728 is a wasteful number, since it uses less digits than its factorization.

52045728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 52045728 is about 7214.2725204971. The cubic root of 52045728 is about 373.3604940557.

The spelling of 52045728 in words is "fifty-two million, forty-five thousand, seven hundred twenty-eight".