48041728 has 144 divisors (see below), whose sum is σ = 123621120. Its totient is φ = 18137088.

The previous prime is 48041713. The next prime is 48041729. The reversal of 48041728 is 82714084.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 48041693 and 48041702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48041729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578775 + ... + 578857.

It is an arithmetic number, because the mean of its divisors is an integer number (858480).

Almost surely, 2^48041728 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 48041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61810560).

48041728 is an abundant number, since it is smaller than the sum of its proper divisors (75579392).

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

48041728 is a wasteful number, since it uses less digits than its factorization.

48041728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 48041728 is about 6931.2140350735. The cubic root of 48041728 is about 363.5294002975.

The spelling of 48041728 in words is "forty-eight million, forty-one thousand, seven hundred twenty-eight".