5728740768 has 144 divisors (see below), whose sum is σ = 17635484160. Its totient is φ = 1808977536.

The previous prime is 5728740701. The next prime is 5728740793. The reversal of 5728740768 is 8670478275.

It is a happy number.

5728740768 is a `hidden beast` number, since 572 + 8 + 7 + 4 + 0 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 302721 + ... + 321087.

It is an arithmetic number, because the mean of its divisors is an integer number (122468640).

Almost surely, 2^5728740768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5728740768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8817742080).

5728740768 is an abundant number, since it is smaller than the sum of its proper divisors (11906743392).

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

5728740768 is a wasteful number, since it uses less digits than its factorization.

5728740768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18424 (or 18391 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The square root of 5728740768 is about 75688.4454061517. The cubic root of 5728740768 is about 1789.3133002575.

It can be divided in two parts, 5728 and 740768, that added together give a square (746496 = 864²).

The spelling of 5728740768 in words is "five billion, seven hundred twenty-eight million, seven hundred forty thousand, seven hundred sixty-eight".