4087852200 has 144 divisors (see below), whose sum is σ = 14171414400. Its totient is φ = 1054915200.

The previous prime is 4087852163. The next prime is 4087852247. The reversal of 4087852200 is 22587804.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 19171 + ... + 92429.

It is an arithmetic number, because the mean of its divisors is an integer number (98412600).

Almost surely, 2^4087852200 is an apocalyptic number.

4087852200 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 4087852200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085707200).

4087852200 is an abundant number, since it is smaller than the sum of its proper divisors (10083562200).

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

4087852200 is a wasteful number, since it uses less digits than its factorization.

4087852200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73312 (or 73300 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4087852200 is about 63936.3136253569. The cubic root of 4087852200 is about 1598.9383843050.

The spelling of 4087852200 in words is "four billion, eighty-seven million, eight hundred fifty-two thousand, two hundred".