5828400 has 90 divisors (see below), whose sum is σ = 20238660. Its totient is φ = 1553280.

The previous prime is 5828377. The next prime is 5828401. The reversal of 5828400 is 48285.

5828400 is a `hidden beast` number, since 582 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5828401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2791 + ... + 4409.

It is an arithmetic number, because the mean of its divisors is an integer number (224874).

Almost surely, 2^5828400 is an apocalyptic number.

5828400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10119330).

5828400 is an abundant number, since it is smaller than the sum of its proper divisors (14410260).

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

5828400 is a wasteful number, since it uses less digits than its factorization.

5828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5828400 is about 2414.2079446477. The cubic root of 5828400 is about 179.9629553396.

The spelling of 5828400 in words is "five million, eight hundred twenty-eight thousand, four hundred".