28972060508160 has 1760 divisors, whose sum is σ = 129792806998272. Its totient is φ = 6006578872320.

The previous prime is 28972060508129. The next prime is 28972060508189. The reversal of 28972060508160 is 6180506027982.

28972060508160 is a `hidden beast` number, since 2 + 8 + 9 + 7 + 20 + 605 + 0 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28972060508097 and 28972060508106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 65399684899 + ... + 65399685341.

Almost surely, 2^{28972060508160} is an apocalyptic number.

28972060508160 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 28972060508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64896403499136).

28972060508160 is an abundant number, since it is smaller than the sum of its proper divisors (100820746490112).

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

28972060508160 is an frugal number, since it uses more digits than its factorization.

28972060508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 28972060508160 in words is "twenty-eight trillion, nine hundred seventy-two billion, sixty million, five hundred eight thousand, one hundred sixty".