4127828680 has 64 divisors (see below), whose sum is σ = 9789303600. Its totient is φ = 1564093440.

The previous prime is 4127828629. The next prime is 4127828681. The reversal of 4127828680 is 868287214.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3124586404 + 1003242276 = 55898^2 + 31674^2 .

It is a super-2 number, since 2×4127828680² = 34077939222861084800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4127828680.

It is not an unprimeable number, because it can be changed into a prime (4127828681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27910 + ... + 95050.

Almost surely, 2^4127828680 is an apocalyptic number.

4127828680 is a gapful number since it is divisible by the number (40) 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 4127828680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894651800).

4127828680 is an abundant number, since it is smaller than the sum of its proper divisors (5661474920).

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

4127828680 is a wasteful number, since it uses less digits than its factorization.

4127828680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67234 (or 67230 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The square root of 4127828680 is about 64248.1803633379. The cubic root of 4127828680 is about 1604.1336706573.

The spelling of 4127828680 in words is "four billion, one hundred twenty-seven million, eight hundred twenty-eight thousand, six hundred eighty".