28932474561000 has 512 divisors, whose sum is σ = 98791999488000. Its totient is φ = 7022526336000.

The previous prime is 28932474560987. The next prime is 28932474561091. The reversal of 28932474561000 is 16547423982.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245554102 + ... + 245671898.

It is an arithmetic number, because the mean of its divisors is an integer number (192953124000).

It is a 1-persistent number, because it is pandigital, but 2⋅28932474561000 = 57864949122000 is not.

Almost surely, 2^{28932474561000} is an apocalyptic number.

28932474561000 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 28932474561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49395999744000).

28932474561000 is an abundant number, since it is smaller than the sum of its proper divisors (69859524927000).

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

28932474561000 is a wasteful number, since it uses less digits than its factorization.

28932474561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118010 (or 117996 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 28932474561000 in words is "twenty-eight trillion, nine hundred thirty-two billion, four hundred seventy-four million, five hundred sixty-one thousand".