2828400 has 60 divisors (see below), whose sum is σ = 9064152. Its totient is φ = 753920.

The previous prime is 2828389. The next prime is 2828429. The reversal of 2828400 is 48282.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 22 + ... + 2378.

2^2828400 is an apocalyptic number.

2828400 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 2828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532076).

2828400 is an abundant number, since it is smaller than the sum of its proper divisors (6235752).

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

2828400 is a wasteful number, since it uses less digits than its factorization.

2828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2828400 is about 1681.7847662528. The cubic root of 2828400 is about 141.4209041568.

The spelling of 2828400 in words is "two million, eight hundred twenty-eight thousand, four hundred".