28658527254720 has 1792 divisors, whose sum is σ = 116884021248000. Its totient is φ = 6546471321600.

The previous prime is 28658527254697. The next prime is 28658527254727. The reversal of 28658527254720 is 2745272585682.

28658527254720 is a `hidden beast` number, since 2 + 8 + 6 + 5 + 85 + 2 + 7 + 2 + 547 + 2 + 0 = 666.

It is a super-3 number, since 3×28658527254720³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (28658527254727) 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 255 ways as a sum of consecutive naturals, for example, 19642581351 + ... + 19642582809.

Almost surely, 2^{28658527254720} is an apocalyptic number.

28658527254720 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 28658527254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58442010624000).

28658527254720 is an abundant number, since it is smaller than the sum of its proper divisors (88225493993280).

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

28658527254720 is a wasteful number, since it uses less digits than its factorization.

28658527254720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 150528000, while the sum is 63.

The spelling of 28658527254720 in words is "twenty-eight trillion, six hundred fifty-eight billion, five hundred twenty-seven million, two hundred fifty-four thousand, seven hundred twenty".