30328020 has 120 divisors (see below), whose sum is σ = 96618984. Its totient is φ = 7962624.

The previous prime is 30328003. The next prime is 30328027. The reversal of 30328020 is 2082303.

It can be written as a sum of positive squares in 4 ways, for example, as 777924 + 29550096 = 882^2 + 5436^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30327984 and 30328002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30328027) 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 39 ways as a sum of consecutive naturals, for example, 157044 + ... + 157236.

Almost surely, 2^30328020 is an apocalyptic number.

30328020 is a gapful number since it is divisible by the number (30) 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 30328020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48309492).

30328020 is an abundant number, since it is smaller than the sum of its proper divisors (66290964).

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

30328020 is a wasteful number, since it uses less digits than its factorization.

30328020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30328020 is about 5507.0881598173. The cubic root of 30328020 is about 311.8516306386.

The spelling of 30328020 in words is "thirty million, three hundred twenty-eight thousand, twenty".