5285280 has 288 divisors, whose sum is σ = 22522752. Its totient is φ = 1013760.

The previous prime is 5285263. The next prime is 5285281. The reversal of 5285280 is 825825.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5285281) 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, 406554 + ... + 406566.

It is an arithmetic number, because the mean of its divisors is an integer number (78204).

Almost surely, 2^5285280 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 5285280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11261376).

5285280 is an abundant number, since it is smaller than the sum of its proper divisors (17237472).

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

5285280 is a wasteful number, since it uses less digits than its factorization.

5285280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 5285280 is about 2298.9736840599. The cubic root of 5285280 is about 174.1897784042.

It can be divided in two parts, 5285 and 280, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 5285280 in words is "five million, two hundred eighty-five thousand, two hundred eighty".