30791328 has 48 divisors (see below), whose sum is σ = 82809216. Its totient is φ = 10012160.

The previous prime is 30791279. The next prime is 30791329. The reversal of 30791328 is 82319703.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (30791329) 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 7 ways as a sum of consecutive naturals, for example, 25 + ... + 7847.

It is an arithmetic number, because the mean of its divisors is an integer number (1725192).

Almost surely, 2^30791328 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 30791328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41404608).

30791328 is an abundant number, since it is smaller than the sum of its proper divisors (52017888).

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

30791328 is a wasteful number, since it uses less digits than its factorization.

30791328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7877 (or 7869 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 30791328 is about 5548.9934222343. The cubic root of 30791328 is about 313.4316194859.

The spelling of 30791328 in words is "thirty million, seven hundred ninety-one thousand, three hundred twenty-eight".