8127288 has 96 divisors (see below), whose sum is σ = 25006800. Its totient is φ = 2363904.

The previous prime is 8127271. The next prime is 8127289. The reversal of 8127288 is 8827218.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8127289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17556 + ... + 18012.

Almost surely, 2^8127288 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 8127288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12503400).

8127288 is an abundant number, since it is smaller than the sum of its proper divisors (16879512).

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

8127288 is a wasteful number, since it uses less digits than its factorization.

8127288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 494 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 8127288 is about 2850.8398762470. The cubic root of 8127288 is about 201.0551567646.

It can be divided in two parts, 812 and 7288, that added together give a square (8100 = 90²).

The spelling of 8127288 in words is "eight million, one hundred twenty-seven thousand, two hundred eighty-eight".