48160728 has 288 divisors, whose sum is σ = 177662160. Its totient is φ = 11612160.

The previous prime is 48160727. The next prime is 48160733. The reversal of 48160728 is 82706184.

48160728 is a `hidden beast` number, since 48 + 1 + 607 + 2 + 8 = 666.

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 = 48160692 and 48160701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48160727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 659700 + ... + 659772.

Almost surely, 2^48160728 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 48160728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88831080).

48160728 is an abundant number, since it is smaller than the sum of its proper divisors (129501432).

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

48160728 is a wasteful number, since it uses less digits than its factorization.

48160728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

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

The square root of 48160728 is about 6939.7930804888. The cubic root of 48160728 is about 363.8293085299.

The spelling of 48160728 in words is "forty-eight million, one hundred sixty thousand, seven hundred twenty-eight".