48601728 has 256 divisors, whose sum is σ = 171360000. Its totient is φ = 13547520.

The previous prime is 48601727. The next prime is 48601741. The reversal of 48601728 is 82710684.

48601728 is a `hidden beast` number, since 48 + 601 + 7 + 2 + 8 = 666.

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

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 48601692 and 48601701.

It is not an unprimeable number, because it can be changed into a prime (48601727) 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 31 ways as a sum of consecutive naturals, for example, 1185388 + ... + 1185428.

It is an arithmetic number, because the mean of its divisors is an integer number (669375).

Almost surely, 2^48601728 is an apocalyptic number.

48601728 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 48601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680000).

48601728 is an abundant number, since it is smaller than the sum of its proper divisors (122758272).

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

48601728 is an equidigital number, since it uses as much as digits as its factorization.

48601728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 48601728 is about 6971.4939575388. The cubic root of 48601728 is about 364.9364448046.

The spelling of 48601728 in words is "forty-eight million, six hundred one thousand, seven hundred twenty-eight".