428936354316288 has 1440 divisors, whose sum is σ = 1643487530065920. Its totient is φ = 109474613821440.

The previous prime is 428936354316037. The next prime is 428936354316293. The reversal of 428936354316288 is 882613453639824.

428936354316288 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 3 + 63 + 543 + 16 + 2 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 8735416345 + ... + 8735465447.

It is an arithmetic number, because the mean of its divisors is an integer number (1141310784768).

Almost surely, 2^{428936354316288} is an apocalyptic number.

428936354316288 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 428936354316288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821743765032960).

428936354316288 is an abundant number, since it is smaller than the sum of its proper divisors (1214551175749632).

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

428936354316288 is a wasteful number, since it uses less digits than its factorization.

428936354316288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49198 (or 49159 counting only the distinct ones).

The product of its digits is 1433272320, while the sum is 72.

The spelling of 428936354316288 in words is "four hundred twenty-eight trillion, nine hundred thirty-six billion, three hundred fifty-four million, three hundred sixteen thousand, two hundred eighty-eight".