10028992512 has 768 divisors, whose sum is σ = 37362124800. Its totient is φ = 2312110080.

The previous prime is 10028992451. The next prime is 10028992543. The reversal of 10028992512 is 21529982001.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233232363 + ... + 233232405.

It is an arithmetic number, because the mean of its divisors is an integer number (48648600).

Almost surely, 2^10028992512 is an apocalyptic number.

10028992512 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 10028992512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681062400).

10028992512 is an abundant number, since it is smaller than the sum of its proper divisors (27333132288).

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

10028992512 is a wasteful number, since it uses less digits than its factorization.

10028992512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 10028992512 in words is "ten billion, twenty-eight million, nine hundred ninety-two thousand, five hundred twelve".