5736928800 has 144 divisors (see below), whose sum is σ = 19772296992. Its totient is φ = 1439846400.

The previous prime is 5736928787. The next prime is 5736928811. The reversal of 5736928800 is 88296375.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5736928800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29506 + ... + 111105.

It is an arithmetic number, because the mean of its divisors is an integer number (137307618).

Almost surely, 2^5736928800 is an apocalyptic number.

5736928800 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 5736928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9886148496).

5736928800 is an abundant number, since it is smaller than the sum of its proper divisors (14035368192).

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

5736928800 is a wasteful number, since it uses less digits than its factorization.

5736928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140651 (or 140638 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 5736928800 is about 75742.5164620242. The cubic root of 5736928800 is about 1790.1653769783.

The spelling of 5736928800 in words is "five billion, seven hundred thirty-six million, nine hundred twenty-eight thousand, eight hundred".