308428800 has 180 divisors, whose sum is σ = 1023903216. Its totient is φ = 81920000.

The previous prime is 308428787. The next prime is 308428801. The reversal of 308428800 is 8824803.

308428800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (308428801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1228675 + ... + 1228925.

Almost surely, 2^308428800 is an apocalyptic number.

308428800 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 308428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511951608).

308428800 is an abundant number, since it is smaller than the sum of its proper divisors (715474416).

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

308428800 is an equidigital number, since it uses as much as digits as its factorization.

308428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 308428800 is about 17562.1410995357. The cubic root of 308428800 is about 675.6445968610.

The spelling of 308428800 in words is "three hundred eight million, four hundred twenty-eight thousand, eight hundred".