2828300697600 has 1080 divisors, whose sum is σ = 11005496853120. Its totient is φ = 638968135680.

The previous prime is 2828300697553. The next prime is 2828300697613. The reversal of 2828300697600 is 67960038282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6442598181 + ... + 6442598619.

It is an arithmetic number, because the mean of its divisors is an integer number (10190274864).

Almost surely, 2^{2828300697600} is an apocalyptic number.

2828300697600 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 2828300697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5502748426560).

2828300697600 is an abundant number, since it is smaller than the sum of its proper divisors (8177196155520).

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

2828300697600 is a wasteful number, since it uses less digits than its factorization.

2828300697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 2828300697600 in words is "two trillion, eight hundred twenty-eight billion, three hundred million, six hundred ninety-seven thousand, six hundred".