206524728 has 192 divisors, whose sum is σ = 628992000. Its totient is φ = 63296640.

The previous prime is 206524693. The next prime is 206524739. The reversal of 206524728 is 827425602.

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

It is a junction number, because it is equal to n+sod(n) for n = 206524692 and 206524701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1385998 + ... + 1386146.

It is an arithmetic number, because the mean of its divisors is an integer number (3276000).

Almost surely, 2^206524728 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 206524728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496000).

206524728 is an abundant number, since it is smaller than the sum of its proper divisors (422467272).

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

206524728 is a wasteful number, since it uses less digits than its factorization.

206524728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 206524728 is about 14370.9682346041. The cubic root of 206524728 is about 591.0950915041.

The spelling of 206524728 in words is "two hundred six million, five hundred twenty-four thousand, seven hundred twenty-eight".