428942557169280 has 2048 divisors, whose sum is σ = 1975304282112000. Its totient is φ = 85365699379200.

The previous prime is 428942557169257. The next prime is 428942557169297. The reversal of 428942557169280 is 82961755249824.

428942557169280 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 4 + 2 + 557 + 1 + 69 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×428942557169280² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 428942557169199 and 428942557169208.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4000940316 + ... + 4001047524.

It is an arithmetic number, because the mean of its divisors is an integer number (964504044000).

Almost surely, 2^{428942557169280} is an apocalyptic number.

428942557169280 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 428942557169280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987652141056000).

428942557169280 is an abundant number, since it is smaller than the sum of its proper divisors (1546361724942720).

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

428942557169280 is a wasteful number, since it uses less digits than its factorization.

428942557169280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107383 (or 107365 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 428942557169280 in words is "four hundred twenty-eight trillion, nine hundred forty-two billion, five hundred fifty-seven million, one hundred sixty-nine thousand, two hundred eighty".