30308428800 has 528 divisors, whose sum is σ = 119898194080. Its totient is φ = 7458324480.

The previous prime is 30308428793. The next prime is 30308428817. The reversal of 30308428800 is 882480303.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8983914 + ... + 8987286.

Almost surely, 2^30308428800 is an apocalyptic number.

30308428800 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 30308428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59949097040).

30308428800 is an abundant number, since it is smaller than the sum of its proper divisors (89589765280).

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

30308428800 is a wasteful number, since it uses less digits than its factorization.

30308428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 30308428800 in words is "thirty billion, three hundred eight million, four hundred twenty-eight thousand, eight hundred".