10128838720 has 448 divisors, whose sum is σ = 32804868096. Its totient is φ = 2876497920.

The previous prime is 10128838711. The next prime is 10128838807. The reversal of 10128838720 is 2783882101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32992807 + ... + 32993113.

It is an arithmetic number, because the mean of its divisors is an integer number (73225152).

Almost surely, 2^10128838720 is an apocalyptic number.

10128838720 is a gapful number since it is divisible by the number (10) 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 10128838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16402434048).

10128838720 is an abundant number, since it is smaller than the sum of its proper divisors (22676029376).

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

10128838720 is a wasteful number, since it uses less digits than its factorization.

10128838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

It can be divided in two parts, 10128 and 838720, that added together give a palindrome (848848).

The spelling of 10128838720 in words is "ten billion, one hundred twenty-eight million, eight hundred thirty-eight thousand, seven hundred twenty".