208198728 has 192 divisors, whose sum is σ = 643464000. Its totient is φ = 62138880.

The previous prime is 208198721. The next prime is 208198729. The reversal of 208198728 is 827891802.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (208198721) 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, 3528763 + ... + 3528821.

It is an arithmetic number, because the mean of its divisors is an integer number (3351375).

Almost surely, 2^208198728 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 208198728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321732000).

208198728 is an abundant number, since it is smaller than the sum of its proper divisors (435265272).

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

208198728 is a wasteful number, since it uses less digits than its factorization.

208198728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 208198728 is about 14429.0931107953. The cubic root of 208198728 is about 592.6878494258.

The spelling of 208198728 in words is "two hundred eight million, one hundred ninety-eight thousand, seven hundred twenty-eight".