1628909568 has 416 divisors, whose sum is σ = 5724526080. Its totient is φ = 451215360.

The previous prime is 1628909563. The next prime is 1628909573. The reversal of 1628909568 is 8659098261.

It is a happy number.

1628909568 is a `hidden beast` number, since 1 + 628 + 9 + 0 + 9 + 5 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1628909563) and next prime (1628909573).

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628909563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15814605 + ... + 15814707.

It is an arithmetic number, because the mean of its divisors is an integer number (13760880).

Almost surely, 2^1628909568 is an apocalyptic number.

1628909568 is a gapful number since it is divisible by the number (18) 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 1628909568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862263040).

1628909568 is an abundant number, since it is smaller than the sum of its proper divisors (4095616512).

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

1628909568 is a wasteful number, since it uses less digits than its factorization.

1628909568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

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

The square root of 1628909568 is about 40359.7518327355. The cubic root of 1628909568 is about 1176.6094300641.

The spelling of 1628909568 in words is "one billion, six hundred twenty-eight million, nine hundred nine thousand, five hundred sixty-eight".