1628464388769 has 27 divisors (see below), whose sum is σ = 2385299371923. Its totient is φ = 1070587344672.

The previous prime is 1628464388743. The next prime is 1628464388797. The reversal of 1628464388769 is 9678834648261.

The square root of 1628464388769 is 1276113.

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

1628464388769 is a `hidden beast` number, since 1 + 6 + 28 + 464 + 3 + 8 + 87 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 924395717025 + 704068671744 = 961455^2 + 839088^2 .

It is not a de Polignac number, because 1628464388769 - 2⁵ = 1628464388737 is a prime.

It is a super-2 number, since 2×1628464388769² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1628464388697 and 1628464388706.

It is not an unprimeable number, because it can be changed into a prime (1628424388769) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 279465834 + ... + 279471660.

Almost surely, 2^{1628464388769} is an apocalyptic number.

1628464388769 is the 1276113-rd square number.

1628464388769 is the 638057-th centered octagonal number.

It is an amenable number.

1628464388769 is a deficient number, since it is larger than the sum of its proper divisors (756834983154).

1628464388769 is an frugal number, since it uses more digits than its factorization.

1628464388769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11806 (or 5903 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 1628464388769 in words is "one trillion, six hundred twenty-eight billion, four hundred sixty-four million, three hundred eighty-eight thousand, seven hundred sixty-nine".