182828180 has 48 divisors (see below), whose sum is σ = 401239440. Its totient is φ = 69888000.

The previous prime is 182828179. The next prime is 182828189. The reversal of 182828180 is 81828281.

It can be written as a sum of positive squares in 8 ways, for example, as 3857296 + 178970884 = 1964^2 + 13378^2 .

It is a super-3 number, since 3×182828180³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182828189) 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, 57020 + ... + 60140.

It is an arithmetic number, because the mean of its divisors is an integer number (8359155).

Almost surely, 2^182828180 is an apocalyptic number.

182828180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182828180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200619720).

182828180 is an abundant number, since it is smaller than the sum of its proper divisors (218411260).

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

182828180 is a wasteful number, since it uses less digits than its factorization.

182828180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 38.

The square root of 182828180 is about 13521.3971171621. The cubic root of 182828180 is about 567.5633960499.

It can be divided in two parts, 18282 and 8180, that added together give a palindrome (26462).

The spelling of 182828180 in words is "one hundred eighty-two million, eight hundred twenty-eight thousand, one hundred eighty".