316828800 has 384 divisors, whose sum is σ = 1226856000. Its totient is φ = 79626240.

The previous prime is 316828777. The next prime is 316828801. The reversal of 316828800 is 8828613.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (316828801) 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 47 ways as a sum of consecutive naturals, for example, 1641504 + ... + 1641696.

Almost surely, 2^316828800 is an apocalyptic number.

316828800 is a gapful number since it is divisible by the number (30) 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 316828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613428000).

316828800 is an abundant number, since it is smaller than the sum of its proper divisors (910027200).

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

316828800 is a wasteful number, since it uses less digits than its factorization.

316828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 316828800 is about 17799.6853904781. The cubic root of 316828800 is about 681.7234253772.

The spelling of 316828800 in words is "three hundred sixteen million, eight hundred twenty-eight thousand, eight hundred".