206028800 has 90 divisors (see below), whose sum is σ = 511951608. Its totient is φ = 82247680.

The previous prime is 206028773. The next prime is 206028827. The reversal of 206028800 is 8820602.

It is an interprime number because it is at equal distance from previous prime (206028773) and next prime (206028827).

It is a self number, because there is not a number n which added to its sum of digits gives 206028800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 409349 + ... + 409851.

Almost surely, 2^206028800 is an apocalyptic number.

206028800 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 206028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255975804).

206028800 is an abundant number, since it is smaller than the sum of its proper divisors (305922808).

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

206028800 is an frugal number, since it uses more digits than its factorization.

206028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 206028800 is about 14353.7033548837. The cubic root of 206028800 is about 590.6215799098.

The spelling of 206028800 in words is "two hundred six million, twenty-eight thousand, eight hundred".