10005827832 has 576 divisors, whose sum is σ = 38335600800. Its totient is φ = 2395008000.

The previous prime is 10005827827. The next prime is 10005827849. The reversal of 10005827832 is 23872850001.

10005827832 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 582 + 78 + 3 + 2 = 666.

It is a super-3 number, since 3×10005827832³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16648332 + ... + 16648932.

Almost surely, 2^10005827832 is an apocalyptic number.

10005827832 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 10005827832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19167800400).

10005827832 is an abundant number, since it is smaller than the sum of its proper divisors (28329772968).

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

10005827832 is a wasteful number, since it uses less digits than its factorization.

10005827832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10005827832 in words is "ten billion, five million, eight hundred twenty-seven thousand, eight hundred thirty-two".