4135828608 has 96 divisors (see below), whose sum is σ = 11942870940. Its totient is φ = 1373792256.

The previous prime is 4135828607. The next prime is 4135828717. The reversal of 4135828608 is 8068285314.

4135828608 is a `hidden beast` number, since 4 + 1 + 3 + 582 + 8 + 60 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3843008064 + 292820544 = 61992^2 + 17112^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4135828601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331410 + ... + 343662.

Almost surely, 2^4135828608 is an apocalyptic number.

4135828608 is a gapful number since it is divisible by the number (48) 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 4135828608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971435470).

4135828608 is an abundant number, since it is smaller than the sum of its proper divisors (7807042332).

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

4135828608 is a wasteful number, since it uses less digits than its factorization.

4135828608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12566 (or 12551 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4135828608 is about 64310.4082400353. The cubic root of 4135828608 is about 1605.1692976568.

The spelling of 4135828608 in words is "four billion, one hundred thirty-five million, eight hundred twenty-eight thousand, six hundred eight".