1628967664 has 40 divisors (see below), whose sum is σ = 3261616640. Its totient is φ = 787320000.

The previous prime is 1628967629. The next prime is 1628967673. The reversal of 1628967664 is 4667698261.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 722539 + ... + 724789.

It is an arithmetic number, because the mean of its divisors is an integer number (81540416).

Almost surely, 2^1628967664 is an apocalyptic number.

It is an amenable number.

1628967664 is an abundant number, since it is smaller than the sum of its proper divisors (1632648976).

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

1628967664 is a wasteful number, since it uses less digits than its factorization.

1628967664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3743 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 55.

The square root of 1628967664 is about 40360.4715532413. The cubic root of 1628967664 is about 1176.6234180493.

The spelling of 1628967664 in words is "one billion, six hundred twenty-eight million, nine hundred sixty-seven thousand, six hundred sixty-four".