49801128 has 128 divisors (see below), whose sum is σ = 146227200. Its totient is φ = 13996800.

The previous prime is 49801123. The next prime is 49801139. The reversal of 49801128 is 82110894.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (49801121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183633 + ... + 183903.

It is an arithmetic number, because the mean of its divisors is an integer number (1142400).

Almost surely, 2^49801128 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 49801128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73113600).

49801128 is an abundant number, since it is smaller than the sum of its proper divisors (96426072).

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

49801128 is a wasteful number, since it uses less digits than its factorization.

49801128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 49801128 is about 7056.9914269468. The cubic root of 49801128 is about 367.9140670491.

The spelling of 49801128 in words is "forty-nine million, eight hundred one thousand, one hundred twenty-eight".