30848000 has 88 divisors (see below), whose sum is σ = 77278344. Its totient is φ = 12288000.

The previous prime is 30847997. The next prime is 30848003. The reversal of 30848000 is 84803.

It is an interprime number because it is at equal distance from previous prime (30847997) and next prime (30848003).

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 30647296 = 448^2 + 5536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30848003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127880 + ... + 128120.

It is an arithmetic number, because the mean of its divisors is an integer number (878163).

Almost surely, 2^30848000 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 30848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38639172).

30848000 is an abundant number, since it is smaller than the sum of its proper divisors (46430344).

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

30848000 is an equidigital number, since it uses as much as digits as its factorization.

30848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 30848000 is about 5554.0975864671. The cubic root of 30848000 is about 313.6237938353.

The spelling of 30848000 in words is "thirty million, eight hundred forty-eight thousand".