50584128 has 112 divisors (see below), whose sum is σ = 155716224. Its totient is φ = 14192640.

The previous prime is 50584123. The next prime is 50584141. The reversal of 50584128 is 82148505.

It is a tau number, because it is divible by the number of its divisors (112).

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 (50584123) 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, 81676 + ... + 82292.

Almost surely, 2^50584128 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 50584128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77858112).

50584128 is an abundant number, since it is smaller than the sum of its proper divisors (105132096).

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

50584128 is a wasteful number, since it uses less digits than its factorization.

50584128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 50584128 is about 7112.2519640406. The cubic root of 50584128 is about 369.8322297583.

The spelling of 50584128 in words is "fifty million, five hundred eighty-four thousand, one hundred twenty-eight".