5788400 has 60 divisors (see below), whose sum is σ = 14415000. Its totient is φ = 2231040.

The previous prime is 5788373. The next prime is 5788403. The reversal of 5788400 is 48875.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5788403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11351 + ... + 11849.

It is an arithmetic number, because the mean of its divisors is an integer number (240250).

Almost surely, 2^5788400 is an apocalyptic number.

5788400 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 5788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207500).

5788400 is an abundant number, since it is smaller than the sum of its proper divisors (8626600).

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

5788400 is a wasteful number, since it uses less digits than its factorization.

5788400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 5788400 is about 2405.9093914776. The cubic root of 5788400 is about 179.5503178534.

The spelling of 5788400 in words is "five million, seven hundred eighty-eight thousand, four hundred".