208838628 has 96 divisors (see below), whose sum is σ = 565488000. Its totient is φ = 66568320.

The previous prime is 208838627. The next prime is 208838639. The reversal of 208838628 is 826838802.

It is a super-2 number, since 2×208838628² = 87227145089844768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208838621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410038 + ... + 410546.

It is an arithmetic number, because the mean of its divisors is an integer number (5890500).

Almost surely, 2^208838628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208838628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282744000).

208838628 is an abundant number, since it is smaller than the sum of its proper divisors (356649372).

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

208838628 is a wasteful number, since it uses less digits than its factorization.

208838628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 208838628 is about 14451.2500497362. The cubic root of 208838628 is about 593.2944382477.

The spelling of 208838628 in words is "two hundred eight million, eight hundred thirty-eight thousand, six hundred twenty-eight".