48349728 has 144 divisors (see below), whose sum is σ = 162751680. Its totient is φ = 13321728.

The previous prime is 48349723. The next prime is 48349729. The reversal of 48349728 is 82794384.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48349723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58051 + ... + 58877.

It is an arithmetic number, because the mean of its divisors is an integer number (1130220).

Almost surely, 2^48349728 is an apocalyptic number.

48349728 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 48349728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81375840).

48349728 is an abundant number, since it is smaller than the sum of its proper divisors (114401952).

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

48349728 is a wasteful number, since it uses less digits than its factorization.

48349728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 868 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 48349728 is about 6953.3968677187. The cubic root of 48349728 is about 364.3046196153.

The spelling of 48349728 in words is "forty-eight million, three hundred forty-nine thousand, seven hundred twenty-eight".