30798028800 has 1512 divisors, whose sum is σ = 144512214912. Its totient is φ = 6193152000.

The previous prime is 30798028787. The next prime is 30798028841. The reversal of 30798028800 is 882089703.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 993484785 + ... + 993484815.

Almost surely, 2^30798028800 is an apocalyptic number.

30798028800 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 30798028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72256107456).

30798028800 is an abundant number, since it is smaller than the sum of its proper divisors (113714186112).

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

30798028800 is a wasteful number, since it uses less digits than its factorization.

30798028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 30798028800 in words is "thirty billion, seven hundred ninety-eight million, twenty-eight thousand, eight hundred".