49177128 has 256 divisors, whose sum is σ = 174182400. Its totient is φ = 11151360.

The previous prime is 49177123. The next prime is 49177159. The reversal of 49177128 is 82177194.

49177128 is a nontrivial binomial coefficient, being equal to C(92, 5).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (49177123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552508 + ... + 552596.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 2^49177128 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 49177128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

49177128 is an abundant number, since it is smaller than the sum of its proper divisors (125005272).

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

49177128 is a wasteful number, since it uses less digits than its factorization.

49177128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its digits is 28224, while the sum is 39.

The square root of 49177128 is about 7012.6405868260. The cubic root of 49177128 is about 366.3709696812.

The spelling of 49177128 in words is "forty-nine million, one hundred seventy-seven thousand, one hundred twenty-eight".