816828156 has 72 divisors (see below), whose sum is σ = 2123909424. Its totient is φ = 264576000.

The previous prime is 816828151. The next prime is 816828167. The reversal of 816828156 is 651828618.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816828151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202156 + ... + 206156.

It is an arithmetic number, because the mean of its divisors is an integer number (29498742).

Almost surely, 2^816828156 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 816828156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061954712).

816828156 is an abundant number, since it is smaller than the sum of its proper divisors (1307081268).

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

816828156 is a wasteful number, since it uses less digits than its factorization.

816828156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4166 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 816828156 is about 28580.2056675595. The cubic root of 816828156 is about 934.7817676308.

The spelling of 816828156 in words is "eight hundred sixteen million, eight hundred twenty-eight thousand, one hundred fifty-six".