5825280 has 144 divisors (see below), whose sum is σ = 19573344. Its totient is φ = 1474560.

The previous prime is 5825257. The next prime is 5825291. The reversal of 5825280 is 825285.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142060 + ... + 142100.

It is an arithmetic number, because the mean of its divisors is an integer number (135926).

Almost surely, 2^5825280 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 5825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9786672).

5825280 is an abundant number, since it is smaller than the sum of its proper divisors (13748064).

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

5825280 is a wasteful number, since it uses less digits than its factorization.

5825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

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

The square root of 5825280 is about 2413.5616834877. The cubic root of 5825280 is about 179.9308376263.

It can be divided in two parts, 5825 and 280, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 5825280 in words is "five million, eight hundred twenty-five thousand, two hundred eighty".