2028120192 has 576 divisors, whose sum is σ = 7497734400. Its totient is φ = 522547200.

The previous prime is 2028120169. The next prime is 2028120203. The reversal of 2028120192 is 2910218202.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2028120192² = 8226543026396233728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33247842 + ... + 33247902.

It is an arithmetic number, because the mean of its divisors is an integer number (13016900).

Almost surely, 2^2028120192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748867200).

2028120192 is an abundant number, since it is smaller than the sum of its proper divisors (5469614208).

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

2028120192 is a wasteful number, since it uses less digits than its factorization.

2028120192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2028120192 is about 45034.6554555489. The cubic root of 2028120192 is about 1265.7984600150.

Adding to 2028120192 its reverse (2910218202), we get a palindrome (4938338394).

The spelling of 2028120192 in words is "two billion, twenty-eight million, one hundred twenty thousand, one hundred ninety-two".