30800328 has 64 divisors (see below), whose sum is σ = 87816960. Its totient is φ = 8918016.

The previous prime is 30800323. The next prime is 30800333. The reversal of 30800328 is 82300803.

It is an interprime number because it is at equal distance from previous prime (30800323) and next prime (30800333).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30800298 and 30800307.

It is not an unprimeable number, because it can be changed into a prime (30800323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2401 + ... + 8207.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 2^30800328 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 30800328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43908480).

30800328 is an abundant number, since it is smaller than the sum of its proper divisors (57016632).

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

30800328 is a wasteful number, since it uses less digits than its factorization.

30800328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 30800328 is about 5549.8043208747. The cubic root of 30800328 is about 313.4621541630.

The spelling of 30800328 in words is "thirty million, eight hundred thousand, three hundred twenty-eight".