2828647800 has 576 divisors, whose sum is σ = 11165356800. Its totient is φ = 634521600.

The previous prime is 2828647699. The next prime is 2828647807. The reversal of 2828647800 is 87468282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828647807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27462549 + ... + 27462651.

It is an arithmetic number, because the mean of its divisors is an integer number (19384300).

Almost surely, 2^2828647800 is an apocalyptic number.

2828647800 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 2828647800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582678400).

2828647800 is an abundant number, since it is smaller than the sum of its proper divisors (8336709000).

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

2828647800 is a wasteful number, since it uses less digits than its factorization.

2828647800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 2828647800 is about 53185.0336090897. The cubic root of 2828647800 is about 1414.2503406256.

The spelling of 2828647800 in words is "two billion, eight hundred twenty-eight million, six hundred forty-seven thousand, eight hundred".