1628239888 has 120 divisors (see below), whose sum is σ = 3613628088. Its totient is φ = 709632000.

The previous prime is 1628239861. The next prime is 1628239909. The reversal of 1628239888 is 8889328261.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 87834384 + 1540405504 = 9372^2 + 39248^2 .

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 23 ways as a sum of consecutive naturals, for example, 5794308 + ... + 5794588.

Almost surely, 2^1628239888 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 1628239888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806814044).

1628239888 is an abundant number, since it is smaller than the sum of its proper divisors (1985388200).

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

1628239888 is a wasteful number, since it uses less digits than its factorization.

1628239888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 55.

The square root of 1628239888 is about 40351.4545958383. The cubic root of 1628239888 is about 1176.4481647561.

The spelling of 1628239888 in words is "one billion, six hundred twenty-eight million, two hundred thirty-nine thousand, eight hundred eighty-eight".