4013828208 has 320 divisors, whose sum is σ = 12832512000. Its totient is φ = 1193647104.

The previous prime is 4013828183. The next prime is 4013828227. The reversal of 4013828208 is 8028283104.

It is a happy number.

It is a super-2 number, since 2×4013828208² = 32221633766672982528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36824058 + ... + 36824166.

It is an arithmetic number, because the mean of its divisors is an integer number (40101600).

Almost surely, 2^4013828208 is an apocalyptic number.

4013828208 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 4013828208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416256000).

4013828208 is an abundant number, since it is smaller than the sum of its proper divisors (8818683792).

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

4013828208 is a wasteful number, since it uses less digits than its factorization.

4013828208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4013828208 is about 63354.7804668282. The cubic root of 4013828208 is about 1589.2281907389.

The spelling of 4013828208 in words is "four billion, thirteen million, eight hundred twenty-eight thousand, two hundred eight".