50288 has 20 divisors (see below), whose sum is σ = 111600. Its totient is φ = 21504.

The previous prime is 50287. The next prime is 50291. The reversal of 50288 is 88205.

50288 is nontrivially palindromic in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 50288.

It is not an unprimeable number, because it can be changed into a prime (50287) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113 + ... + 336.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2⁵⁰²⁸⁸ is an apocalyptic number.

It is an amenable number.

50288 is an abundant number, since it is smaller than the sum of its proper divisors (61312).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55800).

50288 is a wasteful number, since it uses less digits than its factorization.

50288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 50288 is about 224.2498606466. The cubic root of 50288 is about 36.9109130160.

It can be divided in two parts, 50 and 288, that multiplied together give a square (14400 = 120²).

The spelling of 50288 in words is "fifty thousand, two hundred eighty-eight".