52028160 has 144 divisors (see below), whose sum is σ = 176160096. Its totient is φ = 13041664.

The previous prime is 52028159. The next prime is 52028167. The reversal of 52028160 is 6182025.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 52028160.

It is not an unprimeable number, because it can be changed into a prime (52028167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64882 + ... + 65678.

It is an arithmetic number, because the mean of its divisors is an integer number (1223334).

Almost surely, 2^52028160 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 52028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88080048).

52028160 is an abundant number, since it is smaller than the sum of its proper divisors (124131936).

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

52028160 is a wasteful number, since it uses less digits than its factorization.

52028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 52028160 is about 7213.0548313457. The cubic root of 52028160 is about 373.3184801347.

It can be divided in two parts, 520 and 28160, that added together give a triangular number (28680 = T₂₃₉).

The spelling of 52028160 in words is "fifty-two million, twenty-eight thousand, one hundred sixty".