428354542144 has 63 divisors (see below), whose sum is σ = 888829981417. Its totient is φ = 204807620864.

The previous prime is 428354542139. The next prime is 428354542159. The reversal of 428354542144 is 441245453824.

The square root of 428354542144 is 654488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 52477646400 + 375876895744 = 229080^2 + 613088^2 .

It is a super-2 number, since 2×428354542144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 428354542094 and 428354542103.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 120424014 + ... + 120427570.

Almost surely, 2^428354542144 is an apocalyptic number.

428354542144 is the 654488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428354542144

428354542144 is an abundant number, since it is smaller than the sum of its proper divisors (460475439273).

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

428354542144 is an frugal number, since it uses more digits than its factorization.

428354542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172 (or 3582 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 46.

Adding to 428354542144 its reverse (441245453824), we get a palindrome (869599995968).

The spelling of 428354542144 in words is "four hundred twenty-eight billion, three hundred fifty-four million, five hundred forty-two thousand, one hundred forty-four".