1002726622728 has 128 divisors (see below), whose sum is σ = 3044331648000. Its totient is φ = 304433095680.

The previous prime is 1002726622727. The next prime is 1002726622753. The reversal of 1002726622728 is 8272266272001.

1002726622728 is a `hidden beast` number, since 10 + 0 + 2 + 7 + 2 + 6 + 622 + 7 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1002726622727) 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 31 ways as a sum of consecutive naturals, for example, 4290583 + ... + 4518246.

It is an arithmetic number, because the mean of its divisors is an integer number (23783841000).

Almost surely, 2^{1002726622728} is an apocalyptic number.

1002726622728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1002726622728 is an abundant number, since it is smaller than the sum of its proper divisors (2041605025272).

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

1002726622728 is a wasteful number, since it uses less digits than its factorization.

1002726622728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8808892 (or 8808882 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1002726622728 in words is "one trillion, two billion, seven hundred twenty-six million, six hundred twenty-two thousand, seven hundred twenty-eight".