4085928000 has 1008 divisors, whose sum is σ = 18634691712. Its totient is φ = 836352000.

The previous prime is 4085927969. The next prime is 4085928029. The reversal of 4085928000 is 8295804.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60983967 + ... + 60984033.

Almost surely, 2^4085928000 is an apocalyptic number.

4085928000 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 4085928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9317345856).

4085928000 is an abundant number, since it is smaller than the sum of its proper divisors (14548763712).

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

4085928000 is a wasteful number, since it uses less digits than its factorization.

4085928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4085928000 is about 63921.2640676012. The cubic root of 4085928000 is about 1598.6874652439.

The spelling of 4085928000 in words is "four billion, eighty-five million, nine hundred twenty-eight thousand".