48683648 has 64 divisors (see below), whose sum is σ = 110655720. Its totient is φ = 21135360.

The previous prime is 48683647. The next prime is 48683669. The reversal of 48683648 is 84638684.

It can be written as a sum of positive squares in 4 ways, for example, as 43983424 + 4700224 = 6632^2 + 2168^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (48683647) 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, 27428 + ... + 29148.

Almost surely, 2^48683648 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 48683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55327860).

48683648 is an abundant number, since it is smaller than the sum of its proper divisors (61972072).

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

48683648 is a wasteful number, since it uses less digits than its factorization.

48683648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1753 counting only the distinct ones).

The product of its digits is 884736, while the sum is 47.

The square root of 48683648 is about 6977.3668385717. The cubic root of 48683648 is about 365.1413676457.

The spelling of 48683648 in words is "forty-eight million, six hundred eighty-three thousand, six hundred forty-eight".