30330828000 has 768 divisors, whose sum is σ = 122011868160. Its totient is φ = 7318080000.

The previous prime is 30330827987. The next prime is 30330828023. The reversal of 30330828000 is 82803303.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143747895 + ... + 143748105.

It is an arithmetic number, because the mean of its divisors is an integer number (158869620).

Almost surely, 2^30330828000 is an apocalyptic number.

30330828000 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 30330828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61005934080).

30330828000 is an abundant number, since it is smaller than the sum of its proper divisors (91681040160).

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

30330828000 is a wasteful number, since it uses less digits than its factorization.

30330828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 30330828000 in words is "thirty billion, three hundred thirty million, eight hundred twenty-eight thousand".