49583128 has 64 divisors (see below), whose sum is σ = 110880000. Its totient is φ = 20345472.

The previous prime is 49583123. The next prime is 49583137. The reversal of 49583128 is 82138594.

49583128 is nontrivially palindromic in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49583123) 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, 141898 + ... + 142246.

It is an arithmetic number, because the mean of its divisors is an integer number (1732500).

Almost surely, 2^49583128 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 49583128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55440000).

49583128 is an abundant number, since it is smaller than the sum of its proper divisors (61296872).

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

49583128 is a wasteful number, since it uses less digits than its factorization.

49583128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 460 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 49583128 is about 7041.5288112739. The cubic root of 49583128 is about 367.3764448054.

The spelling of 49583128 in words is "forty-nine million, five hundred eighty-three thousand, one hundred twenty-eight".