10000827408 has 160 divisors (see below), whose sum is σ = 30738032640. Its totient is φ = 2761873920.

The previous prime is 10000827401. The next prime is 10000827449. The reversal of 10000827408 is 80472800001.

It is not an unprimeable number, because it can be changed into a prime (10000827401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533035 + ... + 551477.

It is an arithmetic number, because the mean of its divisors is an integer number (192112704).

Almost surely, 2^10000827408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000827408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15369016320).

10000827408 is an abundant number, since it is smaller than the sum of its proper divisors (20737205232).

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

10000827408 is a wasteful number, since it uses less digits than its factorization.

10000827408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18557 (or 18551 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

It can be divided in two parts, 1000082 and 7408, that added together give a triangular number (1007490 = T₁₄₁₉).

The spelling of 10000827408 in words is "ten billion, eight hundred twenty-seven thousand, four hundred eight".