428208768000 has 1232 divisors, whose sum is σ = 1729792065456. Its totient is φ = 105106636800.

The previous prime is 428208767999. The next prime is 428208768067. The reversal of 428208768000 is 867802824.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 240837525504 + 187371242496 = 490752^2 + 432864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1213055824 + ... + 1213056176.

Almost surely, 2^428208768000 is an apocalyptic number.

428208768000 is a gapful number since it is divisible by the number (40) 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 428208768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864896032728).

428208768000 is an abundant number, since it is smaller than the sum of its proper divisors (1301583297456).

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

428208768000 is an equidigital number, since it uses as much as digits as its factorization.

428208768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 428208768000 in words is "four hundred twenty-eight billion, two hundred eight million, seven hundred sixty-eight thousand".