10829000 has 192 divisors, whose sum is σ = 33611760. Its totient is φ = 3225600.

The previous prime is 10828999. The next prime is 10829003. The reversal of 10829000 is 92801.

It can be written as a sum of positive squares in 8 ways, for example, as 188356 + 10640644 = 434^2 + 3262^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10829003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 636992 + ... + 637008.

Almost surely, 2^10829000 is an apocalyptic number.

10829000 is a gapful number since it is divisible by the number (10) 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 10829000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805880).

10829000 is an abundant number, since it is smaller than the sum of its proper divisors (22782760).

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

10829000 is a wasteful number, since it uses less digits than its factorization.

10829000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 10829000 is about 3290.7445965921. The cubic root of 10829000 is about 221.2395592337.

The spelling of 10829000 in words is "ten million, eight hundred twenty-nine thousand".