210800128 has 80 divisors (see below), whose sum is σ = 525216384. Its totient is φ = 82114560.

The previous prime is 210800111. The next prime is 210800141. The reversal of 210800128 is 821008012.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 210800099 and 210800108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36751 + ... + 42097.

Almost surely, 2^210800128 is an apocalyptic number.

210800128 is a gapful number since it is divisible by the number (28) 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 210800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262608192).

210800128 is an abundant number, since it is smaller than the sum of its proper divisors (314416256).

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

210800128 is an equidigital number, since it uses as much as digits as its factorization.

210800128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5383 (or 5367 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 210800128 is about 14518.9575383359. The cubic root of 210800128 is about 595.1461430438.

The spelling of 210800128 in words is "two hundred ten million, eight hundred thousand, one hundred twenty-eight".