828254004 has 48 divisors (see below), whose sum is σ = 2039016000. Its totient is φ = 260948736.

The previous prime is 828253981. The next prime is 828254029. The reversal of 828254004 is 400452828.

It is a happy number.

828254004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100222 + ... + 108170.

It is an arithmetic number, because the mean of its divisors is an integer number (42479500).

Almost surely, 2^828254004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828254004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019508000).

828254004 is an abundant number, since it is smaller than the sum of its proper divisors (1210761996).

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

828254004 is a wasteful number, since it uses less digits than its factorization.

828254004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8432 (or 8430 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 828254004 is about 28779.4024260407. The cubic root of 828254004 is about 939.1201983769.

The spelling of 828254004 in words is "eight hundred twenty-eight million, two hundred fifty-four thousand, four".