2028389037100 has 72 divisors (see below), whose sum is σ = 4595537929248. Its totient is φ = 775646784000.

The previous prime is 2028389037091. The next prime is 2028389037109. The reversal of 2028389037100 is 17309838202.

It is an interprime number because it is at equal distance from previous prime (2028389037091) and next prime (2028389037109).

It is a super-2 number, since 2×2028389037100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2028389037109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3897462 + ... + 4387138.

It is an arithmetic number, because the mean of its divisors is an integer number (63826915684).

Almost surely, 2^{2028389037100} is an apocalyptic number.

2028389037100 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 2028389037100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297768964624).

2028389037100 is an abundant number, since it is smaller than the sum of its proper divisors (2567148892148).

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

2028389037100 is a wasteful number, since it uses less digits than its factorization.

2028389037100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491515 (or 491508 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 2028389037100 in words is "two trillion, twenty-eight billion, three hundred eighty-nine million, thirty-seven thousand, one hundred".