48288168 has 24 divisors (see below), whose sum is σ = 130780650. Its totient is φ = 16096032.

The previous prime is 48288127. The next prime is 48288169. The reversal of 48288168 is 86188284.

It is a happy number.

48288168 is a `hidden beast` number, since 482 + 8 + 8 + 168 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43007364 + 5280804 = 6558^2 + 2298^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48288169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 335263 + ... + 335406.

Almost surely, 2^48288168 is an apocalyptic number.

It is an amenable number.

48288168 is an abundant number, since it is smaller than the sum of its proper divisors (82492482).

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

48288168 is a wasteful number, since it uses less digits than its factorization.

48288168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670681 (or 670674 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 48288168 is about 6948.9688443682. The cubic root of 48288168 is about 364.1499402402.

It can be divided in two parts, 4828 and 8168, that added together give a square (12996 = 114²).

The spelling of 48288168 in words is "forty-eight million, two hundred eighty-eight thousand, one hundred sixty-eight".