206252928 has 96 divisors (see below), whose sum is σ = 678328560. Its totient is φ = 58927104.

The previous prime is 206252927. The next prime is 206252987. The reversal of 206252928 is 829252602.

206252928 is a `hidden beast` number, since 2 + 0 + 625 + 2 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 206252892 and 206252901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206252927) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4725 + ... + 20852.

Almost surely, 2^206252928 is an apocalyptic number.

206252928 is a gapful number since it is divisible by the number (28) 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 206252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339164280).

206252928 is an abundant number, since it is smaller than the sum of its proper divisors (472075632).

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

206252928 is a wasteful number, since it uses less digits than its factorization.

206252928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25604 (or 25589 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 206252928 is about 14361.5085558586. The cubic root of 206252928 is about 590.8356711133.

The spelling of 206252928 in words is "two hundred six million, two hundred fifty-two thousand, nine hundred twenty-eight".