28122045020160 has 1536 divisors, whose sum is σ = 117981287424000. Its totient is φ = 5552560668672.

The previous prime is 28122045020131. The next prime is 28122045020189. The reversal of 28122045020160 is 6102054022182.

It is an interprime number because it is at equal distance from previous prime (28122045020131) and next prime (28122045020189).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×28122045020160² (a number of 28 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 127 ways as a sum of consecutive naturals, for example, 4408531851 + ... + 4408538229.

It is an arithmetic number, because the mean of its divisors is an integer number (76810734000).

Almost surely, 2^{28122045020160} is an apocalyptic number.

28122045020160 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 28122045020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58990643712000).

28122045020160 is an abundant number, since it is smaller than the sum of its proper divisors (89859242403840).

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

28122045020160 is a wasteful number, since it uses less digits than its factorization.

28122045020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6531 (or 6511 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 28122045020160 in words is "twenty-eight trillion, one hundred twenty-two billion, forty-five million, twenty thousand, one hundred sixty".