428461733403648 has 704 divisors, whose sum is σ = 1453517326356480. Its totient is φ = 122135273127936.

The previous prime is 428461733403647. The next prime is 428461733403703. The reversal of 428461733403648 is 846304337164824.

428461733403648 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 617 + 3 + 3 + 4 + 0 + 3 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428461733403647) 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, 300253491511 + ... + 300253492937.

It is an arithmetic number, because the mean of its divisors is an integer number (2064655293120).

Almost surely, 2^{428461733403648} is an apocalyptic number.

428461733403648 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 428461733403648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726758663178240).

428461733403648 is an abundant number, since it is smaller than the sum of its proper divisors (1025055592952832).

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

428461733403648 is a wasteful number, since it uses less digits than its factorization.

428461733403648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 63.

The spelling of 428461733403648 in words is "four hundred twenty-eight trillion, four hundred sixty-one billion, seven hundred thirty-three million, four hundred three thousand, six hundred forty-eight".