1628585856 has 192 divisors, whose sum is σ = 5006551680. Its totient is φ = 506363904.

The previous prime is 1628585851. The next prime is 1628585867. The reversal of 1628585856 is 6585858261.

1628585856 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 58 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628585851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2682705 + ... + 2683311.

It is an arithmetic number, because the mean of its divisors is an integer number (26075790).

Almost surely, 2^1628585856 is an apocalyptic number.

1628585856 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 1628585856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503275840).

1628585856 is an abundant number, since it is smaller than the sum of its proper divisors (3377965824).

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

1628585856 is a wasteful number, since it uses less digits than its factorization.

1628585856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 766 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 54.

The square root of 1628585856 is about 40355.7413015794. The cubic root of 1628585856 is about 1176.5314826582.

The spelling of 1628585856 in words is "one billion, six hundred twenty-eight million, five hundred eighty-five thousand, eight hundred fifty-six".