426767328 has 144 divisors (see below), whose sum is σ = 1349502336. Its totient is φ = 127042560.

The previous prime is 426767317. The next prime is 426767329. The reversal of 426767328 is 823767624.

426767328 is a `hidden beast` number, since 4 + 267 + 67 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426767329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114226 + ... + 117902.

It is an arithmetic number, because the mean of its divisors is an integer number (9371544).

Almost surely, 2^426767328 is an apocalyptic number.

426767328 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 426767328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674751168).

426767328 is an abundant number, since it is smaller than the sum of its proper divisors (922735008).

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

426767328 is a wasteful number, since it uses less digits than its factorization.

426767328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3726 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 426767328 is about 20658.3476589973. The cubic root of 426767328 is about 752.8880221629. Note that the first 3 decimals are identical.

The spelling of 426767328 in words is "four hundred twenty-six million, seven hundred sixty-seven thousand, three hundred twenty-eight".