428631394222080 has 4320 divisors, whose sum is σ = 1924355272694400. Its totient is φ = 91243262509056.

The previous prime is 428631394222019. The next prime is 428631394222081. The reversal of 428631394222080 is 80222493136824.

428631394222080 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 3 + 1 + 3 + 9 + 422 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×428631394222080² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428631394222081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7264938885091 + ... + 7264938885149.

It is an arithmetic number, because the mean of its divisors is an integer number (445452609420).

Almost surely, 2^{428631394222080} is an apocalyptic number.

428631394222080 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 428631394222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962177636347200).

428631394222080 is an abundant number, since it is smaller than the sum of its proper divisors (1495723878472320).

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

428631394222080 is an frugal number, since it uses more digits than its factorization.

428631394222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 428631394222080 in words is "four hundred twenty-eight trillion, six hundred thirty-one billion, three hundred ninety-four million, two hundred twenty-two thousand, eighty".