30828800 has 54 divisors (see below), whose sum is σ = 76321938. Its totient is φ = 12328960.

The previous prime is 30828793. The next prime is 30828817. The reversal of 30828800 is 882803.

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 30824704 = 64^2 + 5552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3992 + ... + 8808.

Almost surely, 2^30828800 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 30828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38160969).

30828800 is an abundant number, since it is smaller than the sum of its proper divisors (45493138).

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

30828800 is an equidigital number, since it uses as much as digits as its factorization.

30828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 30828800 is about 5552.3688638274. The cubic root of 30828800 is about 313.5587131541.

The spelling of 30828800 in words is "thirty million, eight hundred twenty-eight thousand, eight hundred".