30628353004800 has 432 divisors, whose sum is σ = 108203407872000. Its totient is φ = 7606536560640.

The previous prime is 30628353004789. The next prime is 30628353004807. The reversal of 30628353004800 is 840035382603.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30628353004807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20811681 + ... + 22234719.

Almost surely, 2^{30628353004800} is an apocalyptic number.

30628353004800 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 30628353004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54101703936000).

30628353004800 is an abundant number, since it is smaller than the sum of its proper divisors (77575054867200).

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

30628353004800 is a wasteful number, since it uses less digits than its factorization.

30628353004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423146 (or 1423127 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 30628353004800 in words is "thirty trillion, six hundred twenty-eight billion, three hundred fifty-three million, four thousand, eight hundred".