30768048 has 60 divisors (see below), whose sum is σ = 88128040. Its totient is φ = 10015488.

The previous prime is 30768047. The next prime is 30768061. The reversal of 30768048 is 84086703.

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

It is not an unprimeable number, because it can be changed into a prime (30768041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3708 + ... + 8676.

Almost surely, 2^30768048 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 30768048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44064020).

30768048 is an abundant number, since it is smaller than the sum of its proper divisors (57359992).

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

30768048 is a wasteful number, since it uses less digits than its factorization.

30768048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5026 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 30768048 is about 5546.8953478500. The cubic root of 30768048 is about 313.3526088439.

The spelling of 30768048 in words is "thirty million, seven hundred sixty-eight thousand, forty-eight".