4609312128 has 160 divisors (see below), whose sum is σ = 14160717120. Its totient is φ = 1486771200.

The previous prime is 4609312121. The next prime is 4609312129. The reversal of 4609312128 is 8212139064.

4609312128 is a `hidden beast` number, since 4 + 609 + 3 + 1 + 21 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4609312092 and 4609312101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4609312121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 314238 + ... + 328578.

It is an arithmetic number, because the mean of its divisors is an integer number (88504482).

Almost surely, 2^4609312128 is an apocalyptic number.

4609312128 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 4609312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080358560).

4609312128 is an abundant number, since it is smaller than the sum of its proper divisors (9551404992).

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

4609312128 is a wasteful number, since it uses less digits than its factorization.

4609312128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14398 (or 14377 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4609312128 is about 67891.9150414834. The cubic root of 4609312128 is about 1664.2249911503.

The spelling of 4609312128 in words is "four billion, six hundred nine million, three hundred twelve thousand, one hundred twenty-eight".