10609430328 has 256 divisors, whose sum is σ = 35020800000. Its totient is φ = 2912112000.

The previous prime is 10609430323. The next prime is 10609430333. The reversal of 10609430328 is 82303490601.

10609430328 is a `hidden beast` number, since 1 + 0 + 609 + 43 + 0 + 3 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10609430323) and next prime (10609430333).

It is a super-2 number, since 2×10609430328² (a number of 21 digits) contains 22 as substring.

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 = 10609430292 and 10609430301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10609430323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7076923 + ... + 7078421.

It is an arithmetic number, because the mean of its divisors is an integer number (136800000).

Almost surely, 2^10609430328 is an apocalyptic number.

10609430328 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 10609430328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510400000).

10609430328 is an abundant number, since it is smaller than the sum of its proper divisors (24411369672).

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

10609430328 is a wasteful number, since it uses less digits than its factorization.

10609430328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10609430328 in words is "ten billion, six hundred nine million, four hundred thirty thousand, three hundred twenty-eight".