1628602211889 has 27 divisors (see below), whose sum is σ = 2417933145537. Its totient is φ = 1056298739904.

The previous prime is 1628602211879. The next prime is 1628602211923. The reversal of 1628602211889 is 9881122068261.

The square root of 1628602211889 is 1276167.

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

1628602211889 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 602 + 21 + 1 + 8 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 453242672289 + 1175359539600 = 673233^2 + 1084140^2 .

It is not a de Polignac number, because 1628602211889 - 2⁵ = 1628602211857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1628602211839) 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 26 ways as a sum of consecutive naturals, for example, 141648789 + ... + 141660285.

Almost surely, 2^{1628602211889} is an apocalyptic number.

1628602211889 is the 1276167-th square number.

1628602211889 is the 638084-th centered octagonal number.

It is an amenable number.

1628602211889 is a deficient number, since it is larger than the sum of its proper divisors (789330933648).

1628602211889 is an frugal number, since it uses more digits than its factorization.

1628602211889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23074 (or 11537 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 1628602211889 in words is "one trillion, six hundred twenty-eight billion, six hundred two million, two hundred eleven thousand, eight hundred eighty-nine".