5788728000 has 336 divisors, whose sum is σ = 22592812320. Its totient is φ = 1403136000.

The previous prime is 5788727981. The next prime is 5788728017. The reversal of 5788728000 is 8278875.

It is a happy number.

5788728000 is a `hidden beast` number, since 578 + 8 + 72 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 788346 + ... + 795654.

Almost surely, 2^5788728000 is an apocalyptic number.

5788728000 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 5788728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11296406160).

5788728000 is an abundant number, since it is smaller than the sum of its proper divisors (16804084320).

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

5788728000 is a wasteful number, since it uses less digits than its factorization.

5788728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7353 (or 7330 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 5788728000 is about 76083.6907622126. The cubic root of 5788728000 is about 1795.5370919888.

The spelling of 5788728000 in words is "five billion, seven hundred eighty-eight million, seven hundred twenty-eight thousand".