10351801728 has 256 divisors, whose sum is σ = 32916787200. Its totient is φ = 3193344000.

The previous prime is 10351801717. The next prime is 10351801739. The reversal of 10351801728 is 82710815301.

10351801728 is a `hidden beast` number, since 103 + 518 + 0 + 17 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (10351801717) and next prime (10351801739).

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 = 10351801692 and 10351801701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2462028 + ... + 2466228.

It is an arithmetic number, because the mean of its divisors is an integer number (128581200).

Almost surely, 2^10351801728 is an apocalyptic number.

10351801728 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 10351801728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16458393600).

10351801728 is an abundant number, since it is smaller than the sum of its proper divisors (22564985472).

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

10351801728 is a wasteful number, since it uses less digits than its factorization.

10351801728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4278 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 10351801728 in words is "ten billion, three hundred fifty-one million, eight hundred one thousand, seven hundred twenty-eight".