428248274496 has 168 divisors, whose sum is σ = 1325689073280. Its totient is φ = 121648923648.

The previous prime is 428248274459. The next prime is 428248274501. The reversal of 428248274496 is 694472842824.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1496025 + ... + 1759143.

Almost surely, 2^428248274496 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 428248274496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662844536640).

428248274496 is an abundant number, since it is smaller than the sum of its proper divisors (897440798784).

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

428248274496 is a wasteful number, since it uses less digits than its factorization.

428248274496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263321 (or 263304 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 60.

The spelling of 428248274496 in words is "four hundred twenty-eight billion, two hundred forty-eight million, two hundred seventy-four thousand, four hundred ninety-six".