49128 has 32 divisors (see below), whose sum is σ = 129600. Its totient is φ = 15488.

The previous prime is 49123. The next prime is 49139. The reversal of 49128 is 82194.

49128 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 49098 and 49107.

It is not an unprimeable number, because it can be changed into a prime (49121) by changing a digit.

49128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 508 + ... + 596.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2⁴⁹¹²⁸ 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 49128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800).

49128 is an abundant number, since it is smaller than the sum of its proper divisors (80472).

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

49128 is a wasteful number, since it uses less digits than its factorization.

49128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 49128 is about 221.6483701722. The cubic root of 49128 is about 36.6248927377.

The spelling of 49128 in words is "forty-nine thousand, one hundred twenty-eight".