30428388387072 has 432 divisors, whose sum is σ = 100892140876800. Its totient is φ = 8748121374720.

The previous prime is 30428388387071. The next prime is 30428388387091. The reversal of 30428388387072 is 27078388382403.

30428388387072 is a `hidden beast` number, since 30 + 4 + 2 + 83 + 88 + 387 + 0 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (30428388387071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26361829 + ... + 27491867.

It is an arithmetic number, because the mean of its divisors is an integer number (233546622400).

Almost surely, 2^{30428388387072} is an apocalyptic number.

30428388387072 is a gapful number since it is divisible by the number (32) 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 30428388387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50446070438400).

30428388387072 is an abundant number, since it is smaller than the sum of its proper divisors (70463752489728).

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

30428388387072 is a wasteful number, since it uses less digits than its factorization.

30428388387072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130134 (or 1130117 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 30428388387072 in words is "thirty trillion, four hundred twenty-eight billion, three hundred eighty-eight million, three hundred eighty-seven thousand, seventy-two".