2825285600 has 72 divisors (see below), whose sum is σ = 6915213648. Its totient is φ = 1127168000.

The previous prime is 2825285587. The next prime is 2825285621. The reversal of 2825285600 is 65825282.

It is a happy number.

2825285600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316397 + ... + 325203.

It is an arithmetic number, because the mean of its divisors is an integer number (96044634).

Almost surely, 2^2825285600 is an apocalyptic number.

2825285600 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 2825285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457606824).

2825285600 is an abundant number, since it is smaller than the sum of its proper divisors (4089928048).

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

2825285600 is a wasteful number, since it uses less digits than its factorization.

2825285600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9228 (or 9215 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 2825285600 is about 53153.4156945723. The cubic root of 2825285600 is about 1413.6897809467.

The spelling of 2825285600 in words is "two billion, eight hundred twenty-five million, two hundred eighty-five thousand, six hundred".