2028400128 has 240 divisors, whose sum is σ = 6214356720. Its totient is φ = 635830272.

The previous prime is 2028400111. The next prime is 2028400133. The reversal of 2028400128 is 8210048202.

It is a super-2 number, since 2×2028400128² = 8228814158540832768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5746000 + ... + 5746352.

It is an arithmetic number, because the mean of its divisors is an integer number (25893153).

Almost surely, 2^2028400128 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 2028400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107178360).

2028400128 is an abundant number, since it is smaller than the sum of its proper divisors (4185956592).

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

2028400128 is a wasteful number, since it uses less digits than its factorization.

2028400128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2028400128 is about 45037.7633547671. The cubic root of 2028400128 is about 1265.8566955932.

The spelling of 2028400128 in words is "two billion, twenty-eight million, four hundred thousand, one hundred twenty-eight".