828223704 has 288 divisors, whose sum is σ = 2927957760. Its totient is φ = 214695360.

The previous prime is 828223639. The next prime is 828223727. The reversal of 828223704 is 407322828.

828223704 is a `hidden beast` number, since 8 + 282 + 2 + 370 + 4 = 666.

828223704 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1646317 + ... + 1646819.

It is an arithmetic number, because the mean of its divisors is an integer number (10166520).

Almost surely, 2^828223704 is an apocalyptic number.

828223704 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 828223704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463978880).

828223704 is an abundant number, since it is smaller than the sum of its proper divisors (2099734056).

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

828223704 is a wasteful number, since it uses less digits than its factorization.

828223704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 828223704 is about 28778.8760030686. The cubic root of 828223704 is about 939.1087462986.

The spelling of 828223704 in words is "eight hundred twenty-eight million, two hundred twenty-three thousand, seven hundred four".