28012642642640 has 80 divisors (see below), whose sum is σ = 66135380160000. Its totient is φ = 11032155763200.

The previous prime is 28012642642601. The next prime is 28012642642643. The reversal of 28012642642640 is 4624624621082.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28012642642643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9117986 + ... + 11796734.

It is an arithmetic number, because the mean of its divisors is an integer number (826692252000).

Almost surely, 2^{28012642642640} is an apocalyptic number.

28012642642640 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 28012642642640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33067690080000).

28012642642640 is an abundant number, since it is smaller than the sum of its proper divisors (38122737517360).

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

28012642642640 is a wasteful number, since it uses less digits than its factorization.

28012642642640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680780 (or 2680774 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 47.

The spelling of 28012642642640 in words is "twenty-eight trillion, twelve billion, six hundred forty-two million, six hundred forty-two thousand, six hundred forty".