30409728 has 88 divisors (see below), whose sum is σ = 85482720. Its totient is φ = 9584640.

The previous prime is 30409727. The next prime is 30409751. The reversal of 30409728 is 82790403.

It is not an unprimeable number, because it can be changed into a prime (30409727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58108 + ... + 58628.

Almost surely, 2^30409728 is an apocalyptic number.

30409728 is a gapful number since it is divisible by the number (38) 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 30409728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42741360).

30409728 is an abundant number, since it is smaller than the sum of its proper divisors (55072992).

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

30409728 is a wasteful number, since it uses less digits than its factorization.

30409728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 30409728 is about 5514.5016093932. The cubic root of 30409728 is about 312.1314370606.

The spelling of 30409728 in words is "thirty million, four hundred nine thousand, seven hundred twenty-eight".