49584128 has 96 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 21504000.

The previous prime is 49584127. The next prime is 49584149. The reversal of 49584128 is 82148594.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49584127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 698333 + ... + 698403.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^49584128 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 49584128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

49584128 is an abundant number, since it is smaller than the sum of its proper divisors (63634432).

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

49584128 is a wasteful number, since it uses less digits than its factorization.

49584128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its digits is 92160, while the sum is 41.

The square root of 49584128 is about 7041.5998182231. The cubic root of 49584128 is about 367.3789145566.

The spelling of 49584128 in words is "forty-nine million, five hundred eighty-four thousand, one hundred twenty-eight".