30428848128 has 224 divisors, whose sum is σ = 94038944256. Its totient is φ = 8571322368.

The previous prime is 30428848127. The next prime is 30428848139. The reversal of 30428848128 is 82184882403.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30428848127) by changing a digit.

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, 12557125 + ... + 12559547.

Almost surely, 2^30428848128 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 30428848128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47019472128).

30428848128 is an abundant number, since it is smaller than the sum of its proper divisors (63610096128).

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

30428848128 is an equidigital number, since it uses as much as digits as its factorization.

30428848128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The spelling of 30428848128 in words is "thirty billion, four hundred twenty-eight million, eight hundred forty-eight thousand, one hundred twenty-eight".