428023968 has 48 divisors (see below), whose sum is σ = 1134090720. Its totient is φ = 141337856.

The previous prime is 428023957. The next prime is 428023979. The reversal of 428023968 is 869320824.

It is an interprime number because it is at equal distance from previous prime (428023957) and next prime (428023979).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10563 + ... + 31106.

It is an arithmetic number, because the mean of its divisors is an integer number (23626890).

Almost surely, 2^428023968 is an apocalyptic number.

428023968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

428023968 is an abundant number, since it is smaller than the sum of its proper divisors (706066752).

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

428023968 is a wasteful number, since it uses less digits than its factorization.

428023968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41789 (or 41781 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 428023968 is about 20688.7401259719. The cubic root of 428023968 is about 753.6262715045.

The spelling of 428023968 in words is "four hundred twenty-eight million, twenty-three thousand, nine hundred sixty-eight".