30628080000 has 960 divisors, whose sum is σ = 129243628800. Its totient is φ = 6815232000.

The previous prime is 30628079987. The next prime is 30628080037. The reversal of 30628080000 is 8082603.

30628080000 is a `hidden beast` number, since 30 + 628 + 0 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 297359949 + ... + 297360051.

It is an arithmetic number, because the mean of its divisors is an integer number (134628780).

Almost surely, 2^30628080000 is an apocalyptic number.

30628080000 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 30628080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64621814400).

30628080000 is an abundant number, since it is smaller than the sum of its proper divisors (98615548800).

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

30628080000 is a wasteful number, since it uses less digits than its factorization.

30628080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 30628080000 in words is "thirty billion, six hundred twenty-eight million, eighty thousand".