428610906 has 32 divisors (see below), whose sum is σ = 956766720. Its totient is φ = 142225632.

The previous prime is 428610899. The next prime is 428610937. The reversal of 428610906 is 609016824.

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 15 ways as a sum of consecutive naturals, for example, 5755 + ... + 29838.

It is an arithmetic number, because the mean of its divisors is an integer number (29898960).

Almost surely, 2^428610906 is an apocalyptic number.

428610906 is an abundant number, since it is smaller than the sum of its proper divisors (528155814).

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

428610906 is a wasteful number, since it uses less digits than its factorization.

428610906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35827 (or 35821 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 428610906 is about 20702.9202287986. The cubic root of 428610906 is about 753.9705901233.

The spelling of 428610906 in words is "four hundred twenty-eight million, six hundred ten thousand, nine hundred six".