8181828 has 72 divisors (see below), whose sum is σ = 22702680. Its totient is φ = 2472960.

The previous prime is 8181821. The next prime is 8181829. The reversal of 8181828 is 8281818.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1617984 + 6563844 = 1272^2 + 2562^2 .

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

Its product of digits (8192) is a multiple of the sum of its prime divisors (512).

It is a junction number, because it is equal to n+sod(n) for n = 8181792 and 8181801.

It is not an unprimeable number, because it can be changed into a prime (8181821) 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 23 ways as a sum of consecutive naturals, for example, 17518 + ... + 17978.

It is an arithmetic number, because the mean of its divisors is an integer number (315315).

Almost surely, 2^8181828 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 8181828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11351340).

8181828 is an abundant number, since it is smaller than the sum of its proper divisors (14520852).

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

8181828 is a wasteful number, since it uses less digits than its factorization.

8181828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 512 counting only the distinct ones).

The product of its digits is 8192, while the sum is 36.

The square root of 8181828 is about 2860.3894839689. The cubic root of 8181828 is about 201.5038964657.

It can be divided in two parts, 818182 and 8, that multiplied together give a palindrome (6545456).

The spelling of 8181828 in words is "eight million, one hundred eighty-one thousand, eight hundred twenty-eight".