2828160 has 96 divisors (see below), whose sum is σ = 9785880. Its totient is φ = 752640.

The previous prime is 2828141. The next prime is 2828173. The reversal of 2828160 is 618282.

It is a tau number, because it is divible by the number of its divisors (96).

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, 5515 + ... + 6005.

2^2828160 is an apocalyptic number.

2828160 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 2828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892940).

2828160 is an abundant number, since it is smaller than the sum of its proper divisors (6957720).

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

2828160 is a wasteful number, since it uses less digits than its factorization.

2828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2828160 is about 1681.7134119701. The cubic root of 2828160 is about 141.4169040180.

The spelling of 2828160 in words is "two million, eight hundred twenty-eight thousand, one hundred sixty".