28606440894720 has 288 divisors, whose sum is σ = 98479858778112. Its totient is φ = 7035129593856.

The previous prime is 28606440894613. The next prime is 28606440894727. The reversal of 28606440894720 is 2749804460682.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (28606440894727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 54300417 + ... + 54824703.

Almost surely, 2^{28606440894720} is an apocalyptic number.

28606440894720 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 28606440894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49239929389056).

28606440894720 is an abundant number, since it is smaller than the sum of its proper divisors (69873417883392).

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

28606440894720 is a wasteful number, since it uses less digits than its factorization.

28606440894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525417 (or 525403 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 28606440894720 in words is "twenty-eight trillion, six hundred six billion, four hundred forty million, eight hundred ninety-four thousand, seven hundred twenty".