428467968 has 90 divisors (see below), whose sum is σ = 1277675784. Its totient is φ = 142815744.

The previous prime is 428467939. The next prime is 428467969. The reversal of 428467968 is 869764824.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428467969) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10405 + ... + 31067.

Almost surely, 2^428467968 is an apocalyptic number.

428467968 is a gapful number since it is divisible by the number (48) 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 428467968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638837892).

428467968 is an abundant number, since it is smaller than the sum of its proper divisors (849207816).

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

428467968 is an equidigital number, since it uses as much as digits as its factorization.

428467968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20691 (or 20668 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 428467968 is about 20699.4678192460. The cubic root of 428467968 is about 753.8867665985.

The spelling of 428467968 in words is "four hundred twenty-eight million, four hundred sixty-seven thousand, nine hundred sixty-eight".