5788989600 has 576 divisors, whose sum is σ = 21598617600. Its totient is φ = 1338163200.

The previous prime is 5788989539. The next prime is 5788989601. The reversal of 5788989600 is 69898875.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (5788989601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29090301 + ... + 29090499.

It is an arithmetic number, because the mean of its divisors is an integer number (37497600).

Almost surely, 2^5788989600 is an apocalyptic number.

5788989600 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 5788989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10799308800).

5788989600 is an abundant number, since it is smaller than the sum of its proper divisors (15809628000).

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

5788989600 is a wasteful number, since it uses less digits than its factorization.

5788989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The square root of 5788989600 is about 76085.4099022934. The cubic root of 5788989600 is about 1795.5641391183.

The spelling of 5788989600 in words is "five billion, seven hundred eighty-eight million, nine hundred eighty-nine thousand, six hundred".