828821820 has 48 divisors (see below), whose sum is σ = 2322679968. Its totient is φ = 220830720.

The previous prime is 828821803. The next prime is 828821821. The reversal of 828821820 is 28128828.

828821820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×828821820² = 1373891218616224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828821821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74032 + ... + 84488.

It is an arithmetic number, because the mean of its divisors is an integer number (48389166).

Almost surely, 2^828821820 is an apocalyptic number.

It is an amenable number.

828821820 is an abundant number, since it is smaller than the sum of its proper divisors (1493858148).

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

828821820 is a wasteful number, since it uses less digits than its factorization.

828821820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11790 (or 11788 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 828821820 is about 28789.2657078988. The cubic root of 828821820 is about 939.3347564155.

The spelling of 828821820 in words is "eight hundred twenty-eight million, eight hundred twenty-one thousand, eight hundred twenty".