52180128 has 288 divisors, whose sum is σ = 200333952. Its totient is φ = 12441600.

The previous prime is 52180103. The next prime is 52180133. The reversal of 52180128 is 82108125.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288198 + ... + 288378.

It is an arithmetic number, because the mean of its divisors is an integer number (695604).

Almost surely, 2^52180128 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 52180128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100166976).

52180128 is an abundant number, since it is smaller than the sum of its proper divisors (148153824).

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

52180128 is a wasteful number, since it uses less digits than its factorization.

52180128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 52180128 is about 7223.5813832198. The cubic root of 52180128 is about 373.6815996198.

The spelling of 52180128 in words is "fifty-two million, one hundred eighty thousand, one hundred twenty-eight".