1628909856 has 144 divisors (see below), whose sum is σ = 5327509824. Its totient is φ = 462454272.

The previous prime is 1628909851. The next prime is 1628909873. The reversal of 1628909856 is 6589098261.

It is a happy number.

1628909856 is a `hidden beast` number, since 1 + 628 + 9 + 0 + 9 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1628909851) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 326130 + ... + 331086.

It is an arithmetic number, because the mean of its divisors is an integer number (36996596).

Almost surely, 2^1628909856 is an apocalyptic number.

1628909856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628909856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663754912).

1628909856 is an abundant number, since it is smaller than the sum of its proper divisors (3698599968).

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

1628909856 is a wasteful number, since it uses less digits than its factorization.

1628909856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143 (or 5132 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 1628909856 is about 40359.7554006463. The cubic root of 1628909856 is about 1176.6094994077.

The spelling of 1628909856 in words is "one billion, six hundred twenty-eight million, nine hundred nine thousand, eight hundred fifty-six".