5828480 has 64 divisors (see below), whose sum is σ = 15936480. Its totient is φ = 1996800.

The previous prime is 5828479. The next prime is 5828483. The reversal of 5828480 is 848285.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×5828480² = 67942358220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5828480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5828483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3830 + ... + 5130.

Almost surely, 2^5828480 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 5828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968240).

5828480 is an abundant number, since it is smaller than the sum of its proper divisors (10108000).

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

5828480 is a wasteful number, since it uses less digits than its factorization.

5828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 5828480 is about 2414.2245131719. The cubic root of 5828480 is about 179.9637787199.

The spelling of 5828480 in words is "five million, eight hundred twenty-eight thousand, four hundred eighty".