2828600126352 has 480 divisors, whose sum is σ = 10633952050176. Its totient is φ = 677849472000.

The previous prime is 2828600126323. The next prime is 2828600126369. The reversal of 2828600126352 is 2536210068282.

2828600126352 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 6 + 0 + 0 + 1 + 2 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2828600126298 and 2828600126307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 410951103 + ... + 410957985.

Almost surely, 2^{2828600126352} is an apocalyptic number.

2828600126352 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 2828600126352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316976025088).

2828600126352 is an abundant number, since it is smaller than the sum of its proper divisors (7805351923824).

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

2828600126352 is a wasteful number, since it uses less digits than its factorization.

2828600126352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9779 (or 9770 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2828600126352 in words is "two trillion, eight hundred twenty-eight billion, six hundred million, one hundred twenty-six thousand, three hundred fifty-two".