5675728800 has 648 divisors, whose sum is σ = 22965967584. Its totient is φ = 1213685760.

The previous prime is 5675728771. The next prime is 5675728801. The reversal of 5675728800 is 88275765.

It is a super-2 number, since 2×5675728800² = 64427794822298880000, which contains 22 as substring.

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 5675728800.

It is not an unprimeable number, because it can be changed into a prime (5675728801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 33986317 + ... + 33986483.

It is an arithmetic number, because the mean of its divisors is an integer number (35441308).

Almost surely, 2^5675728800 is an apocalyptic number.

5675728800 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 5675728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11482983792).

5675728800 is an abundant number, since it is smaller than the sum of its proper divisors (17290238784).

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

5675728800 is a wasteful number, since it uses less digits than its factorization.

5675728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The square root of 5675728800 is about 75337.4329267994. The cubic root of 5675728800 is about 1783.7769399435.

The spelling of 5675728800 in words is "five billion, six hundred seventy-five million, seven hundred twenty-eight thousand, eight hundred".