52558128 has 120 divisors (see below), whose sum is σ = 175488768. Its totient is φ = 14357376.

The previous prime is 52558127. The next prime is 52558133. The reversal of 52558128 is 82185525.

52558128 is a `hidden beast` number, since 52 + 5 + 581 + 28 = 666.

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 = 52558092 and 52558101.

It is not an unprimeable number, because it can be changed into a prime (52558127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22051 + ... + 24317.

Almost surely, 2^52558128 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 52558128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384).

52558128 is an abundant number, since it is smaller than the sum of its proper divisors (122930640).

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

52558128 is a wasteful number, since it uses less digits than its factorization.

52558128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2302 counting only the distinct ones).

The product of its digits is 32000, while the sum is 36.

The square root of 52558128 is about 7249.6984764885. The cubic root of 52558128 is about 374.5817630477.

It can be divided in two parts, 525 and 58128, that added together give a triangular number (58653 = T₃₄₂).

The spelling of 52558128 in words is "fifty-two million, five hundred fifty-eight thousand, one hundred twenty-eight".