468281828 has 72 divisors (see below), whose sum is σ = 1028270880. Its totient is φ = 185431680.

The previous prime is 468281797. The next prime is 468281837. The reversal of 468281828 is 828182864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151151 + ... + 154217.

It is an arithmetic number, because the mean of its divisors is an integer number (14281540).

Almost surely, 2^468281828 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 468281828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514135440).

468281828 is an abundant number, since it is smaller than the sum of its proper divisors (559989052).

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

468281828 is a wasteful number, since it uses less digits than its factorization.

468281828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3136 counting only the distinct ones).

The product of its digits is 393216, while the sum is 47.

The square root of 468281828 is about 21639.8204243935. The cubic root of 468281828 is about 776.5494235846.

The spelling of 468281828 in words is "four hundred sixty-eight million, two hundred eighty-one thousand, eight hundred twenty-eight".