50688288 has 288 divisors, whose sum is σ = 185673600. Its totient is φ = 13160448.

The previous prime is 50688283. The next prime is 50688289. The reversal of 50688288 is 88288605.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (50688283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1747858 + ... + 1747886.

It is an arithmetic number, because the mean of its divisors is an integer number (644700).

Almost surely, 2^50688288 is an apocalyptic number.

50688288 is a gapful number since it is divisible by the number (58) 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 50688288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92836800).

50688288 is an abundant number, since it is smaller than the sum of its proper divisors (134985312).

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

50688288 is a wasteful number, since it uses less digits than its factorization.

50688288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 50688288 is about 7119.5707735790. The cubic root of 50688288 is about 370.0859016522.

The spelling of 50688288 in words is "fifty million, six hundred eighty-eight thousand, two hundred eighty-eight".