10256001728 has 168 divisors, whose sum is σ = 24381756672. Its totient is φ = 4192570368.

The previous prime is 10256001667. The next prime is 10256001781. The reversal of 10256001728 is 82710065201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10256001694 and 10256001703.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61413101 + ... + 61413267.

It is an arithmetic number, because the mean of its divisors is an integer number (145129504).

Almost surely, 2^10256001728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10256001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12190878336).

10256001728 is an abundant number, since it is smaller than the sum of its proper divisors (14125754944).

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

10256001728 is a wasteful number, since it uses less digits than its factorization.

10256001728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

Adding to 10256001728 its reverse (82710065201), we get a palindrome (92966066929).

The spelling of 10256001728 in words is "ten billion, two hundred fifty-six million, one thousand, seven hundred twenty-eight".