28082097120 has 192 divisors, whose sum is σ = 110286199296. Its totient is φ = 5835233280.

The previous prime is 28082097101. The next prime is 28082097143. The reversal of 28082097120 is 2179028082.

It is a super-2 number, since 2×28082097120² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 342939 + ... + 416858.

It is an arithmetic number, because the mean of its divisors is an integer number (574407288).

Almost surely, 2^28082097120 is an apocalyptic number.

28082097120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28082097120 is an abundant number, since it is smaller than the sum of its proper divisors (82204102176).

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

28082097120 is a wasteful number, since it uses less digits than its factorization.

28082097120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759833 (or 759825 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 28082097120 in words is "twenty-eight billion, eighty-two million, ninety-seven thousand, one hundred twenty".