428189079744 has 168 divisors, whose sum is σ = 1254071070720. Its totient is φ = 139622579712.

The previous prime is 428189079743. The next prime is 428189079767. The reversal of 428189079744 is 447970981824.

428189079744 is a `hidden beast` number, since 428 + 1 + 89 + 0 + 7 + 97 + 44 = 666.

It is a super-2 number, since 2×428189079744² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (428189079743) by changing a digit.

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, 102952737 + ... + 102956895.

Almost surely, 2^428189079744 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 428189079744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627035535360).

428189079744 is an abundant number, since it is smaller than the sum of its proper divisors (825881990976).

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

428189079744 is a wasteful number, since it uses less digits than its factorization.

428189079744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8027 (or 8014 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

It can be divided in two parts, 4281890 and 79744, that added together give a palindrome (4361634).

The spelling of 428189079744 in words is "four hundred twenty-eight billion, one hundred eighty-nine million, seventy-nine thousand, seven hundred forty-four".