2848000 has 72 divisors (see below), whose sum is σ = 7174440. Its totient is φ = 1126400.

The previous prime is 2847991. The next prime is 2848009. The reversal of 2848000 is 8482.

It is an interprime number because it is at equal distance from previous prime (2847991) and next prime (2848009).

It can be written as a sum of positive squares in 4 ways, for example, as 389376 + 2458624 = 624^2 + 1568^2 .

It is a super-2 number, since 2×2848000² = 16222208000000, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2848009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31956 + ... + 32044.

It is an arithmetic number, because the mean of its divisors is an integer number (99645).

2^2848000 is an apocalyptic number.

2848000 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 2848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587220).

2848000 is an abundant number, since it is smaller than the sum of its proper divisors (4326440).

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

2848000 is an frugal number, since it uses more digits than its factorization.

2848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2848000 is about 1687.6018487783. The cubic root of 2848000 is about 141.7468212300.

The spelling of 2848000 in words is "two million, eight hundred forty-eight thousand".