1628933656 has 48 divisors (see below), whose sum is σ = 3588168240. Its totient is φ = 691185600.

The previous prime is 1628933651. The next prime is 1628933717. The reversal of 1628933656 is 6563398261.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628933651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19021 + ... + 60163.

It is an arithmetic number, because the mean of its divisors is an integer number (74753505).

Almost surely, 2^1628933656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628933656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794084120).

1628933656 is an abundant number, since it is smaller than the sum of its proper divisors (1959234584).

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

1628933656 is a wasteful number, since it uses less digits than its factorization.

1628933656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41264 (or 41253 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 49.

The square root of 1628933656 is about 40360.0502477388. The cubic root of 1628933656 is about 1176.6152298598.

The spelling of 1628933656 in words is "one billion, six hundred twenty-eight million, nine hundred thirty-three thousand, six hundred fifty-six".