10027828512 has 576 divisors, whose sum is σ = 35135493120. Its totient is φ = 2783683584.

The previous prime is 10027828511. The next prime is 10027828523. The reversal of 10027828512 is 21582872001.

10027828512 is a `hidden beast` number, since 100 + 278 + 285 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10027828511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44175343 + ... + 44175569.

It is an arithmetic number, because the mean of its divisors is an integer number (60999120).

Almost surely, 2^10027828512 is an apocalyptic number.

10027828512 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 10027828512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17567746560).

10027828512 is an abundant number, since it is smaller than the sum of its proper divisors (25107664608).

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

10027828512 is a wasteful number, since it uses less digits than its factorization.

10027828512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 10027828512 in words is "ten billion, twenty-seven million, eight hundred twenty-eight thousand, five hundred twelve".