10039801728 has 192 divisors, whose sum is σ = 29506050000. Its totient is φ = 3022356480.

The previous prime is 10039801721. The next prime is 10039801747. The reversal of 10039801728 is 82710893001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10039801721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8037648 + ... + 8038896.

Almost surely, 2^10039801728 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 10039801728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14753025000).

10039801728 is an abundant number, since it is smaller than the sum of its proper divisors (19466248272).

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

10039801728 is a wasteful number, since it uses less digits than its factorization.

10039801728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 10039801728 in words is "ten billion, thirty-nine million, eight hundred one thousand, seven hundred twenty-eight".