208052628 has 144 divisors (see below), whose sum is σ = 592409664. Its totient is φ = 56609280.

The previous prime is 208052623. The next prime is 208052629. The reversal of 208052628 is 826250802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208052623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1588123 + ... + 1588253.

It is an arithmetic number, because the mean of its divisors is an integer number (4113956).

Almost surely, 2^208052628 is an apocalyptic number.

208052628 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 208052628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296204832).

208052628 is an abundant number, since it is smaller than the sum of its proper divisors (384357036).

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

208052628 is a wasteful number, since it uses less digits than its factorization.

208052628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 208052628 is about 14424.0295340796. The cubic root of 208052628 is about 592.5491806993.

The spelling of 208052628 in words is "two hundred eight million, fifty-two thousand, six hundred twenty-eight".