206288628 has 72 divisors (see below), whose sum is σ = 603019872. Its totient is φ = 54403776.

The previous prime is 206288623. The next prime is 206288657. The reversal of 206288628 is 826882602.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 206288628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206288623) 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, 5850 + ... + 21137.

It is an arithmetic number, because the mean of its divisors is an integer number (8375276).

Almost surely, 2^206288628 is an apocalyptic number.

206288628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

206288628 is an abundant number, since it is smaller than the sum of its proper divisors (396731244).

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

206288628 is a wasteful number, since it uses less digits than its factorization.

206288628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27021 (or 27012 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 206288628 is about 14362.7514077213. The cubic root of 206288628 is about 590.8697580906.

The spelling of 206288628 in words is "two hundred six million, two hundred eighty-eight thousand, six hundred twenty-eight".