2828830752 has 288 divisors, whose sum is σ = 9312226560. Its totient is φ = 806400000.

The previous prime is 2828830747. The next prime is 2828830799. The reversal of 2828830752 is 2570388282.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2828830698 and 2828830707.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3766377 + ... + 3767127.

It is an arithmetic number, because the mean of its divisors is an integer number (32334120).

Almost surely, 2^2828830752 is an apocalyptic number.

2828830752 is a gapful number since it is divisible by the number (22) 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 2828830752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656113280).

2828830752 is an abundant number, since it is smaller than the sum of its proper divisors (6483395808).

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

2828830752 is a wasteful number, since it uses less digits than its factorization.

2828830752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2828830752 is about 53186.7535388277. The cubic root of 2828830752 is about 1414.2808303824.

The spelling of 2828830752 in words is "two billion, eight hundred twenty-eight million, eight hundred thirty thousand, seven hundred fifty-two".