10143620928 has 756 divisors, whose sum is σ = 38469059460. Its totient is φ = 2633637888.

The previous prime is 10143620821. The next prime is 10143620947. The reversal of 10143620928 is 82902634101.

10143620928 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 3 + 620 + 9 + 28 = 666.

10143620928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6666395904 + 3477225024 = 81648^2 + 58968^2 .

It is a tau number, because it is divible by the number of its divisors (756).

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 = 10143620892 and 10143620901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 349780018 + ... + 349780046.

Almost surely, 2^10143620928 is an apocalyptic number.

10143620928 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 10143620928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19234529730).

10143620928 is an abundant number, since it is smaller than the sum of its proper divisors (28325438532).

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

10143620928 is an frugal number, since it uses more digits than its factorization.

10143620928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10143620928 in words is "ten billion, one hundred forty-three million, six hundred twenty thousand, nine hundred twenty-eight".