52380288 has 96 divisors (see below), whose sum is σ = 154545300. Its totient is φ = 17018880.

The previous prime is 52380287. The next prime is 52380299. The reversal of 52380288 is 88208325.

It can be written as a sum of positive squares in 2 ways, for example, as 35141184 + 17239104 = 5928^2 + 4152^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52380287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46678 + ... + 47786.

Almost surely, 2^52380288 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 52380288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77272650).

52380288 is an abundant number, since it is smaller than the sum of its proper divisors (102165012).

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

52380288 is a wasteful number, since it uses less digits than its factorization.

52380288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 52380288 is about 7237.4227457017. The cubic root of 52380288 is about 374.1587970847.

The spelling of 52380288 in words is "fifty-two million, three hundred eighty thousand, two hundred eighty-eight".