48640128 has 64 divisors (see below), whose sum is σ = 136818720. Its totient is φ = 15257600.

The previous prime is 48640117. The next prime is 48640129. The reversal of 48640128 is 82104684.

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 (48640129) 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, 2803 + ... + 10253.

Almost surely, 2^48640128 is an apocalyptic number.

48640128 is a gapful number since it is divisible by the number (48) 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 48640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68409360).

48640128 is an abundant number, since it is smaller than the sum of its proper divisors (88178592).

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

48640128 is a wasteful number, since it uses less digits than its factorization.

48640128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7485 (or 7473 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 48640128 is about 6974.2474862884. The cubic root of 48640128 is about 365.0325310344.

The spelling of 48640128 in words is "forty-eight million, six hundred forty thousand, one hundred twenty-eight".