52657128 has 56 divisors (see below), whose sum is σ = 148046850. Its totient is φ = 17550432.

The previous prime is 52657103. The next prime is 52657141. The reversal of 52657128 is 82175625.

It is a happy number.

52657128 is a `hidden beast` number, since 526 + 5 + 7 + 128 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27436644 + 25220484 = 5238^2 + 5022^2 .

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 = 52657092 and 52657101.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1318 + ... + 10346.

Almost surely, 2^52657128 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 52657128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74023425).

52657128 is an abundant number, since it is smaller than the sum of its proper divisors (95389722).

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

52657128 is an equidigital number, since it uses as much as digits as its factorization.

52657128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9053 (or 9034 counting only the distinct ones).

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

The square root of 52657128 is about 7256.5231343943. The cubic root of 52657128 is about 374.8168065216.

The spelling of 52657128 in words is "fifty-two million, six hundred fifty-seven thousand, one hundred twenty-eight".