5728968000 has 672 divisors, whose sum is σ = 24346253568. Its totient is φ = 1306368000.

The previous prime is 5728967971. The next prime is 5728968029. The reversal of 5728968000 is 8698275.

It is an interprime number because it is at equal distance from previous prime (5728967971) and next prime (5728968029).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13607790 + ... + 13608210.

It is an arithmetic number, because the mean of its divisors is an integer number (36229544).

Almost surely, 2^5728968000 is an apocalyptic number.

5728968000 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 5728968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12173126784).

5728968000 is an abundant number, since it is smaller than the sum of its proper divisors (18617285568).

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

5728968000 is an equidigital number, since it uses as much as digits as its factorization.

5728968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5728968000 is about 75689.9464922522. The cubic root of 5728968000 is about 1789.3369578046.

The spelling of 5728968000 in words is "five billion, seven hundred twenty-eight million, nine hundred sixty-eight thousand".