10327914828 has 324 divisors, whose sum is σ = 34508408760. Its totient is φ = 2661452640.

The previous prime is 10327914827. The next prime is 10327914893. The reversal of 10327914828 is 82841972301.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not an unprimeable number, because it can be changed into a prime (10327914827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 81322101 + ... + 81322227.

Almost surely, 2^10327914828 is an apocalyptic number.

10327914828 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 10327914828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17254204380).

10327914828 is an abundant number, since it is smaller than the sum of its proper divisors (24180493932).

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

10327914828 is a wasteful number, since it uses less digits than its factorization.

10327914828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10327914828 in words is "ten billion, three hundred twenty-seven million, nine hundred fourteen thousand, eight hundred twenty-eight".