2828647050768 has 600 divisors, whose sum is σ = 10565589339360. Its totient is φ = 722250224640.

The previous prime is 2828647050727. The next prime is 2828647050781. The reversal of 2828647050768 is 8670507468282.

2828647050768 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 64 + 7 + 0 + 507 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41179780 + ... + 41248412.

Almost surely, 2^{2828647050768} is an apocalyptic number.

2828647050768 is a gapful number since it is divisible by the number (28) 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 2828647050768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282794669680).

2828647050768 is an abundant number, since it is smaller than the sum of its proper divisors (7736942288592).

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

2828647050768 is a wasteful number, since it uses less digits than its factorization.

2828647050768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68737 (or 68715 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 2828647050768 in words is "two trillion, eight hundred twenty-eight billion, six hundred forty-seven million, fifty thousand, seven hundred sixty-eight".