10328284512 has 192 divisors, whose sum is σ = 37076175360. Its totient is φ = 2723922432.

The previous prime is 10328284501. The next prime is 10328284513. The reversal of 10328284512 is 21548282301.

It is a happy number.

10328284512 is a `hidden beast` number, since 1 + 0 + 328 + 284 + 51 + 2 = 666.

10328284512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10328284513) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12943 + ... + 144305.

It is an arithmetic number, because the mean of its divisors is an integer number (193105080).

Almost surely, 2^10328284512 is an apocalyptic number.

10328284512 is a gapful number since it is divisible by the number (12) 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 10328284512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18538087680).

10328284512 is an abundant number, since it is smaller than the sum of its proper divisors (26747890848).

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

10328284512 is a wasteful number, since it uses less digits than its factorization.

10328284512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131402 (or 131388 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10328284512 in words is "ten billion, three hundred twenty-eight million, two hundred eighty-four thousand, five hundred twelve".