428146950 has 192 divisors, whose sum is σ = 1394196480. Its totient is φ = 84240000.

The previous prime is 428146913. The next prime is 428146963. The reversal of 428146950 is 59641824.

It is a junction number, because it is equal to n+sod(n) for n = 428146899 and 428146908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218475 + ... + 220425.

It is an arithmetic number, because the mean of its divisors is an integer number (7261440).

Almost surely, 2^428146950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428146950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697098240).

428146950 is an abundant number, since it is smaller than the sum of its proper divisors (966049530).

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

428146950 is a wasteful number, since it uses less digits than its factorization.

428146950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 428146950 is about 20691.7121089580. The cubic root of 428146950 is about 753.6984431567.

The spelling of 428146950 in words is "four hundred twenty-eight million, one hundred forty-six thousand, nine hundred fifty".