428008633376 has 72 divisors (see below), whose sum is σ = 860106891924. Its totient is φ = 209657077760.

The previous prime is 428008633369. The next prime is 428008633427. The reversal of 428008633376 is 673336800824.

It can be written as a sum of positive squares in 6 ways, for example, as 298854648976 + 129153984400 = 546676^2 + 359380^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68401640 + ... + 68407896.

Almost surely, 2^428008633376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428008633376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430053445962).

428008633376 is an abundant number, since it is smaller than the sum of its proper divisors (432098258548).

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

428008633376 is an equidigital number, since it uses as much as digits as its factorization.

428008633376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7134 (or 7073 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 50.

The spelling of 428008633376 in words is "four hundred twenty-eight billion, eight million, six hundred thirty-three thousand, three hundred seventy-six".