4628589168 has 160 divisors (see below), whose sum is σ = 14221312000. Its totient is φ = 1269354240.

The previous prime is 4628589157. The next prime is 4628589169. The reversal of 4628589168 is 8619858264.

It is a happy number.

It is a super-2 number, since 2×4628589168² = 42847675372253864448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628589169) 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, 1321083 + ... + 1324581.

It is an arithmetic number, because the mean of its divisors is an integer number (88883200).

Almost surely, 2^4628589168 is an apocalyptic number.

4628589168 is a gapful number since it is divisible by the number (48) 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 4628589168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110656000).

4628589168 is an abundant number, since it is smaller than the sum of its proper divisors (9592722832).

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

4628589168 is a wasteful number, since it uses less digits than its factorization.

4628589168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675 (or 3669 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 57.

The square root of 4628589168 is about 68033.7355140815. The cubic root of 4628589168 is about 1666.5418019166.

The spelling of 4628589168 in words is "four billion, six hundred twenty-eight million, five hundred eighty-nine thousand, one hundred sixty-eight".