828133764 has 48 divisors (see below), whose sum is σ = 1953298368. Its totient is φ = 273061888.

The previous prime is 828133763. The next prime is 828133769. The reversal of 828133764 is 467331828.

It is not an unprimeable number, because it can be changed into a prime (828133763) 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, 579619 + ... + 581045.

It is an arithmetic number, because the mean of its divisors is an integer number (40693716).

Almost surely, 2^828133764 is an apocalyptic number.

It is an amenable number.

828133764 is an abundant number, since it is smaller than the sum of its proper divisors (1125164604).

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

828133764 is a wasteful number, since it uses less digits than its factorization.

828133764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1922 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 828133764 is about 28777.3133561839. The cubic root of 828133764 is about 939.0747512569.

The spelling of 828133764 in words is "eight hundred twenty-eight million, one hundred thirty-three thousand, seven hundred sixty-four".