428707341608448 has 640 divisors, whose sum is σ = 1386411600549888. Its totient is φ = 114918627999744.

The previous prime is 428707341608437. The next prime is 428707341608449. The reversal of 428707341608448 is 844806143707824.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428707341608449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102635224536 + ... + 102635228712.

Almost surely, 2^{428707341608448} is an apocalyptic number.

428707341608448 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 428707341608448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693205800274944).

428707341608448 is an abundant number, since it is smaller than the sum of its proper divisors (957704258941440).

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

428707341608448 is a wasteful number, since it uses less digits than its factorization.

428707341608448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5862 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 231211008, while the sum is 66.

The spelling of 428707341608448 in words is "four hundred twenty-eight trillion, seven hundred seven billion, three hundred forty-one million, six hundred eight thousand, four hundred forty-eight".