49552128 has 144 divisors (see below), whose sum is σ = 150111360. Its totient is φ = 16118784.

The previous prime is 49552123. The next prime is 49552141. The reversal of 49552128 is 82125594.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 49552092 and 49552101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49552123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463051 + ... + 463157.

It is an arithmetic number, because the mean of its divisors is an integer number (1042440).

Almost surely, 2^49552128 is an apocalyptic number.

49552128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75055680).

49552128 is an abundant number, since it is smaller than the sum of its proper divisors (100559232).

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

49552128 is a wasteful number, since it uses less digits than its factorization.

49552128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 49552128 is about 7039.3272405820. The cubic root of 49552128 is about 367.2998660408.

The spelling of 49552128 in words is "forty-nine million, five hundred fifty-two thousand, one hundred twenty-eight".