30128000 has 128 divisors (see below), whose sum is σ = 85924800. Its totient is φ = 10291200.

The previous prime is 30127991. The next prime is 30128011. The reversal of 30128000 is 82103.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 111866 + ... + 112134.

Almost surely, 2^30128000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42962400).

30128000 is an abundant number, since it is smaller than the sum of its proper divisors (55796800).

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

30128000 is an equidigital number, since it uses as much as digits as its factorization.

30128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 30128000 is about 5488.8978857326. The cubic root of 30128000 is about 311.1645410880.

The spelling of 30128000 in words is "thirty million, one hundred twenty-eight thousand".