828664224 has 96 divisors (see below), whose sum is σ = 2255210496. Its totient is φ = 266146560.

The previous prime is 828664189. The next prime is 828664229. The reversal of 828664224 is 422466828.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×828664224² = 1373368792275044352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (828664229) 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, 913179 + ... + 914085.

It is an arithmetic number, because the mean of its divisors is an integer number (23491776).

Almost surely, 2^828664224 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 828664224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127605248).

828664224 is an abundant number, since it is smaller than the sum of its proper divisors (1426546272).

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

828664224 is a wasteful number, since it uses less digits than its factorization.

828664224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1250 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 828664224 is about 28786.5285159569. The cubic root of 828664224 is about 939.2752161619.

The spelling of 828664224 in words is "eight hundred twenty-eight million, six hundred sixty-four thousand, two hundred twenty-four".