48128064 has 112 divisors (see below), whose sum is σ = 136550400. Its totient is φ = 14916096.

The previous prime is 48128063. The next prime is 48128099. The reversal of 48128064 is 46082184.

It is not an unprimeable number, because it can be changed into a prime (48128063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288109 + ... + 288275.

It is an arithmetic number, because the mean of its divisors is an integer number (1219200).

Almost surely, 2^48128064 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 48128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68275200).

48128064 is an abundant number, since it is smaller than the sum of its proper divisors (88422336).

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

48128064 is a wasteful number, since it uses less digits than its factorization.

48128064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

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

The square root of 48128064 is about 6937.4392970317. The cubic root of 48128064 is about 363.7470367374.

The spelling of 48128064 in words is "forty-eight million, one hundred twenty-eight thousand, sixty-four".