30828616 has 128 divisors (see below), whose sum is σ = 78382080. Its totient is φ = 11022336.

The previous prime is 30828593. The next prime is 30828617. The reversal of 30828616 is 61682803.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (30828617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581646 + ... + 581698.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 2^30828616 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 30828616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39191040).

30828616 is an abundant number, since it is smaller than the sum of its proper divisors (47553464).

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

30828616 is a wasteful number, since it uses less digits than its factorization.

30828616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 30828616 is about 5552.3522942983. The cubic root of 30828616 is about 313.5580893336.

The spelling of 30828616 in words is "thirty million, eight hundred twenty-eight thousand, six hundred sixteen".