205906428 has 288 divisors, whose sum is σ = 694451520. Its totient is φ = 52254720.

The previous prime is 205906427. The next prime is 205906447. The reversal of 205906428 is 824609502.

It is a happy number.

205906428 is a `hidden beast` number, since 2 + 0 + 5 + 9 + 0 + 642 + 8 = 666.

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 = 205906392 and 205906401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205906423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2820600 + ... + 2820672.

It is an arithmetic number, because the mean of its divisors is an integer number (2411290).

Almost surely, 2^205906428 is an apocalyptic number.

205906428 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 205906428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347225760).

205906428 is an abundant number, since it is smaller than the sum of its proper divisors (488545092).

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

205906428 is a wasteful number, since it uses less digits than its factorization.

205906428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

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

The square root of 205906428 is about 14349.4399890727. The cubic root of 205906428 is about 590.5046223806.

The spelling of 205906428 in words is "two hundred five million, nine hundred six thousand, four hundred twenty-eight".