5288928 has 48 divisors (see below), whose sum is σ = 14268240. Its totient is φ = 1714176.

The previous prime is 5288917. The next prime is 5288929. The reversal of 5288928 is 8298825.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5288928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5288929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2808 + ... + 4296.

It is an arithmetic number, because the mean of its divisors is an integer number (297255).

Almost surely, 2^5288928 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 5288928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7134120).

5288928 is an abundant number, since it is smaller than the sum of its proper divisors (8979312).

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

5288928 is a wasteful number, since it uses less digits than its factorization.

5288928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1531 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 5288928 is about 2299.7669447142. The cubic root of 5288928 is about 174.2298455447.

It can be divided in two parts, 5288 and 928, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 5288928 in words is "five million, two hundred eighty-eight thousand, nine hundred twenty-eight".