308213728900 has 405 divisors, whose sum is σ = 866035288293. Its totient is φ = 95133931200.

The previous prime is 308213728883. The next prime is 308213728993. The reversal of 308213728900 is 9827312803.

The square root of 308213728900 is 555170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 110956942404 + 197256786496 = 333102^2 + 444136^2 .

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 134 ways as a sum of consecutive naturals, for example, 2992366249 + ... + 2992366351.

Almost surely, 2^308213728900 is an apocalyptic number.

308213728900 is the 555170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 308213728900

308213728900 is an abundant number, since it is smaller than the sum of its proper divisors (557821559393).

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

308213728900 is a wasteful number, since it uses less digits than its factorization.

308213728900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

It can be divided in two parts, 30821 and 3728900, that added together give a square (3759721 = 1939²).

The spelling of 308213728900 in words is "three hundred eight billion, two hundred thirteen million, seven hundred twenty-eight thousand, nine hundred".