28753129084680 has 5120 divisors, whose sum is σ = 141125367398400. Its totient is φ = 5058256896000.

The previous prime is 28753129084679. The next prime is 28753129084727. The reversal of 28753129084680 is 8648092135782.

28753129084680 is a `hidden beast` number, since 2 + 8 + 7 + 531 + 2 + 90 + 8 + 4 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×28753129084680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 1279 ways as a sum of consecutive naturals, for example, 323068866076 + ... + 323068866164.

It is an arithmetic number, because the mean of its divisors is an integer number (27563548320).

It is a 1-persistent number, because it is pandigital, but 2⋅28753129084680 = 57506258169360 is not.

Almost surely, 2^{28753129084680} is an apocalyptic number.

28753129084680 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 28753129084680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70562683699200).

28753129084680 is an abundant number, since it is smaller than the sum of its proper divisors (112372238313720).

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

28753129084680 is a wasteful number, since it uses less digits than its factorization.

28753129084680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 28753129084680 in words is "twenty-eight trillion, seven hundred fifty-three billion, one hundred twenty-nine million, eighty-four thousand, six hundred eighty".