2827533120 has 112 divisors (see below), whose sum is σ = 9023591808. Its totient is φ = 750131200.

The previous prime is 2827533097. The next prime is 2827533133. The reversal of 2827533120 is 213357282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181645 + ... + 196595.

It is an arithmetic number, because the mean of its divisors is an integer number (80567784).

Almost surely, 2^2827533120 is an apocalyptic number.

2827533120 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 2827533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511795904).

2827533120 is an abundant number, since it is smaller than the sum of its proper divisors (6196058688).

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

2827533120 is a wasteful number, since it uses less digits than its factorization.

2827533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15168 (or 15158 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2827533120 is about 53174.5533126513. The cubic root of 2827533120 is about 1414.0645458807.

The spelling of 2827533120 in words is "two billion, eight hundred twenty-seven million, five hundred thirty-three thousand, one hundred twenty".