829228000 has 48 divisors (see below), whose sum is σ = 2037423024. Its totient is φ = 331689600.

The previous prime is 829227941. The next prime is 829228009. The reversal of 829228000 is 822928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829228009) 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 7 ways as a sum of consecutive naturals, for example, 99654 + ... + 107653.

It is an arithmetic number, because the mean of its divisors is an integer number (42446313).

Almost surely, 2^829228000 is an apocalyptic number.

829228000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

829228000 is an abundant number, since it is smaller than the sum of its proper divisors (1208195024).

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

829228000 is a wasteful number, since it uses less digits than its factorization.

829228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207332 (or 207314 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 829228000 is about 28796.3192092323. The cubic root of 829228000 is about 939.4881776826.

The spelling of 829228000 in words is "eight hundred twenty-nine million, two hundred twenty-eight thousand".