4085828376 has 192 divisors, whose sum is σ = 12432268800. Its totient is φ = 1093948416.

The previous prime is 4085828363. The next prime is 4085828377. The reversal of 4085828376 is 6738285804.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4085828377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37484610 + ... + 37484718.

It is an arithmetic number, because the mean of its divisors is an integer number (64751400).

Almost surely, 2^4085828376 is an apocalyptic number.

4085828376 is a gapful number since it is divisible by the number (46) 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 4085828376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6216134400).

4085828376 is an abundant number, since it is smaller than the sum of its proper divisors (8346440424).

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

4085828376 is a wasteful number, since it uses less digits than its factorization.

4085828376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The square root of 4085828376 is about 63920.4847916535. The cubic root of 4085828376 is about 1598.6744719545.

The spelling of 4085828376 in words is "four billion, eighty-five million, eight hundred twenty-eight thousand, three hundred seventy-six".