828626000 has 40 divisors (see below), whose sum is σ = 2003622504. Its totient is φ = 331449600.

The previous prime is 828625921. The next prime is 828626003. The reversal of 828626000 is 626828.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 85082176 + 743543824 = 9224^2 + 27268^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828626003) 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, 205157 + ... + 209156.

Almost surely, 2^828626000 is an apocalyptic number.

828626000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828626000 is an abundant number, since it is smaller than the sum of its proper divisors (1174996504).

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

828626000 is a wasteful number, since it uses less digits than its factorization.

828626000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414336 (or 414320 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 828626000 is about 28785.8645866335. The cubic root of 828626000 is about 939.2607738796.

The spelling of 828626000 in words is "eight hundred twenty-eight million, six hundred twenty-six thousand".