52057728 has 80 divisors (see below), whose sum is σ = 154953810. Its totient is φ = 17349120.

The previous prime is 52057721. The next prime is 52057729. The reversal of 52057728 is 82775025.

It can be written as a sum of positive squares in only one way, i.e., 34012224 + 18045504 = 5832^2 + 4248^2 .

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 = 52057692 and 52057701.

It is not an unprimeable number, because it can be changed into a prime (52057721) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7858 + ... + 12878.

Almost surely, 2^52057728 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 52057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77476905).

52057728 is an abundant number, since it is smaller than the sum of its proper divisors (102896082).

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

52057728 is an equidigital number, since it uses as much as digits as its factorization.

52057728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5047 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 52057728 is about 7215.1041572523. The cubic root of 52057728 is about 373.3891866549.

The spelling of 52057728 in words is "fifty-two million, fifty-seven thousand, seven hundred twenty-eight".