2853828000 has 144 divisors (see below), whose sum is σ = 10128363336. Its totient is φ = 761011200.

The previous prime is 2853827953. The next prime is 2853828011. The reversal of 2853828000 is 8283582.

It can be written as a sum of positive squares in 4 ways, for example, as 422549136 + 2431278864 = 20556^2 + 49308^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 3637 + ... + 75636.

Almost surely, 2^2853828000 is an apocalyptic number.

2853828000 is a gapful number since it is divisible by the number (20) 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 2853828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064181668).

2853828000 is an abundant number, since it is smaller than the sum of its proper divisors (7274535336).

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

2853828000 is a wasteful number, since it uses less digits than its factorization.

2853828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79304 (or 79283 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2853828000 is about 53421.2317342085. The cubic root of 2853828000 is about 1418.4344314217.

The spelling of 2853828000 in words is "two billion, eight hundred fifty-three million, eight hundred twenty-eight thousand".