48421728 has 72 divisors (see below), whose sum is σ = 144963000. Its totient is φ = 15289344.

The previous prime is 48421727. The next prime is 48421733. The reversal of 48421728 is 82712484.

48421728 is a `hidden beast` number, since 484 + 2 + 172 + 8 = 666.

48421728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 48421692 and 48421701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48421727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1048 + ... + 9896.

It is an arithmetic number, because the mean of its divisors is an integer number (2013375).

Almost surely, 2^48421728 is an apocalyptic number.

48421728 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 48421728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72481500).

48421728 is an abundant number, since it is smaller than the sum of its proper divisors (96541272).

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

48421728 is a wasteful number, since it uses less digits than its factorization.

48421728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8884 (or 8873 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 48421728 is about 6958.5722673548. The cubic root of 48421728 is about 364.4853646740.

The spelling of 48421728 in words is "forty-eight million, four hundred twenty-one thousand, seven hundred twenty-eight".