623828800 has 252 divisors, whose sum is σ = 1826689260. Its totient is φ = 209018880.

The previous prime is 623828731. The next prime is 623828801. The reversal of 623828800 is 8828326.

623828800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 28224 + 623800576 = 168^2 + 24976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 623828800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (623828801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5723146 + ... + 5723254.

Almost surely, 2^623828800 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 623828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913344630).

623828800 is an abundant number, since it is smaller than the sum of its proper divisors (1202860460).

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

623828800 is a wasteful number, since it uses less digits than its factorization.

623828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 623828800 is about 24976.5650160305. The cubic root of 623828800 is about 854.4535797079.

The spelling of 623828800 in words is "six hundred twenty-three million, eight hundred twenty-eight thousand, eight hundred".