30228868800 has 504 divisors, whose sum is σ = 119460548480. Its totient is φ = 7199539200.

The previous prime is 30228868763. The next prime is 30228868861. The reversal of 30228868800 is 886882203.

30228868800 is a `hidden beast` number, since 302 + 288 + 68 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×30228868800² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5800596 + ... + 5805804.

Almost surely, 2^30228868800 is an apocalyptic number.

30228868800 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 30228868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59730274240).

30228868800 is an abundant number, since it is smaller than the sum of its proper divisors (89231679680).

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

30228868800 is a wasteful number, since it uses less digits than its factorization.

30228868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5281 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 30228868800 in words is "thirty billion, two hundred twenty-eight million, eight hundred sixty-eight thousand, eight hundred".