208232728 has 64 divisors (see below), whose sum is σ = 455479200. Its totient is φ = 88197120.

The previous prime is 208232699. The next prime is 208232737. The reversal of 208232728 is 827232802.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 208232693 and 208232702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162426 + ... + 163702.

Almost surely, 2^208232728 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 208232728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227739600).

208232728 is an abundant number, since it is smaller than the sum of its proper divisors (247246472).

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

208232728 is a wasteful number, since it uses less digits than its factorization.

208232728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 208232728 is about 14430.2712379220. The cubic root of 208232728 is about 592.7201107341.

The spelling of 208232728 in words is "two hundred eight million, two hundred thirty-two thousand, seven hundred twenty-eight".