30681828 has 60 divisors (see below), whose sum is σ = 80732652. Its totient is φ = 10160640.

The previous prime is 30681823. The next prime is 30681857. The reversal of 30681828 is 82818603.

It can be written as a sum of positive squares in 2 ways, for example, as 14424804 + 16257024 = 3798^2 + 4032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30681792 and 30681801.

It is not an unprimeable number, because it can be changed into a prime (30681823) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90876 + ... + 91212.

Almost surely, 2^30681828 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 30681828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40366326).

30681828 is an abundant number, since it is smaller than the sum of its proper divisors (50050824).

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

30681828 is a wasteful number, since it uses less digits than its factorization.

30681828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 30681828 is about 5539.1179803286. The cubic root of 30681828 is about 313.0596367565.

The spelling of 30681828 in words is "thirty million, six hundred eighty-one thousand, eight hundred twenty-eight".