28642360158720 has 3840 divisors, whose sum is σ = 133229067079680. Its totient is φ = 5560335728640.

The previous prime is 28642360158719. The next prime is 28642360158779. The reversal of 28642360158720 is 2785106324682.

28642360158720 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 2 + 3 + 601 + 5 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 383 ways as a sum of consecutive naturals, for example, 267685608907 + ... + 267685609013.

It is an arithmetic number, because the mean of its divisors is an integer number (34695069552).

Almost surely, 2^{28642360158720} is an apocalyptic number.

28642360158720 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 28642360158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66614533539840).

28642360158720 is an abundant number, since it is smaller than the sum of its proper divisors (104586706920960).

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

28642360158720 is a wasteful number, since it uses less digits than its factorization.

28642360158720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 28642360158720 in words is "twenty-eight trillion, six hundred forty-two billion, three hundred sixty million, one hundred fifty-eight thousand, seven hundred twenty".