182638848 has 144 divisors (see below), whose sum is σ = 566891136. Its totient is φ = 51118080.

The previous prime is 182638847. The next prime is 182638867. The reversal of 182638848 is 848836281.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 182638797 and 182638806.

It is not an unprimeable number, because it can be changed into a prime (182638843) 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 15 ways as a sum of consecutive naturals, for example, 284608 + ... + 285248.

It is an arithmetic number, because the mean of its divisors is an integer number (3936744).

Almost surely, 2^182638848 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 182638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283445568).

182638848 is an abundant number, since it is smaller than the sum of its proper divisors (384252288).

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

182638848 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (182638849) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (720).

182638848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 706 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 182638848 is about 13514.3941040655. The cubic root of 182638848 is about 567.3674105299.

The spelling of 182638848 in words is "one hundred eighty-two million, six hundred thirty-eight thousand, eight hundred forty-eight".