428762250 has 144 divisors (see below), whose sum is σ = 1349005320. Its totient is φ = 97977600.

The previous prime is 428762249. The next prime is 428762261. The reversal of 428762250 is 52267824.

428762250 is a `hidden beast` number, since 4 + 28 + 7 + 622 + 5 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 173369889 + 255392361 = 13167^2 + 15981^2 .

It is a Curzon number.

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 71 ways as a sum of consecutive naturals, for example, 108306 + ... + 112194.

Almost surely, 2^428762250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428762250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674502660).

428762250 is an abundant number, since it is smaller than the sum of its proper divisors (920243070).

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

428762250 is a wasteful number, since it uses less digits than its factorization.

428762250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3906 counting only the distinct ones).

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

The square root of 428762250 is about 20706.5750427250. The cubic root of 428762250 is about 754.0593228917.

The spelling of 428762250 in words is "four hundred twenty-eight million, seven hundred sixty-two thousand, two hundred fifty".