828860004 has 144 divisors (see below), whose sum is σ = 2459358720. Its totient is φ = 230480640.

The previous prime is 828859963. The next prime is 828860029. The reversal of 828860004 is 400068828.

828860004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3058389 + ... + 3058659.

It is an arithmetic number, because the mean of its divisors is an integer number (17078880).

Almost surely, 2^828860004 is an apocalyptic number.

828860004 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828860004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229679360).

828860004 is an abundant number, since it is smaller than the sum of its proper divisors (1630498716).

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

828860004 is a wasteful number, since it uses less digits than its factorization.

828860004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 828860004 is about 28789.9288641011. The cubic root of 828860004 is about 939.3491813122.

The spelling of 828860004 in words is "eight hundred twenty-eight million, eight hundred sixty thousand, four".