208828620 has 576 divisors, whose sum is σ = 909941760. Its totient is φ = 37324800.

The previous prime is 208828603. The next prime is 208828637. The reversal of 208828620 is 26828802.

208828620 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 28 + 620 = 666.

208828620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (208828603) and next prime (208828637).

It is a super-2 number, since 2×208828620² = 87218785062208800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3423390 + ... + 3423450.

It is an arithmetic number, because the mean of its divisors is an integer number (1579760).

Almost surely, 2^208828620 is an apocalyptic number.

208828620 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 208828620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454970880).

208828620 is an abundant number, since it is smaller than the sum of its proper divisors (701113140).

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

208828620 is a wasteful number, since it uses less digits than its factorization.

208828620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 208828620 is about 14450.9037779649. The cubic root of 208828620 is about 593.2849607775.

It can be divided in two parts, 208 and 828620, that added together give a palindrome (828828).

The spelling of 208828620 in words is "two hundred eight million, eight hundred twenty-eight thousand, six hundred twenty".