828814820 has 24 divisors (see below), whose sum is σ = 1743626304. Its totient is φ = 330932576.

The previous prime is 828814807. The next prime is 828814823. The reversal of 828814820 is 28418828.

It is not an unprimeable number, because it can be changed into a prime (828814823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25544 + ... + 48063.

It is an arithmetic number, because the mean of its divisors is an integer number (72651096).

Almost surely, 2^828814820 is an apocalyptic number.

It is an amenable number.

828814820 is an abundant number, since it is smaller than the sum of its proper divisors (914811484).

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

828814820 is a wasteful number, since it uses less digits than its factorization.

828814820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74179 (or 74177 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 41.

The square root of 828814820 is about 28789.1441345518. The cubic root of 828814820 is about 939.3321119541.

The spelling of 828814820 in words is "eight hundred twenty-eight million, eight hundred fourteen thousand, eight hundred twenty".