828324480 has 256 divisors, whose sum is σ = 2757427200. Its totient is φ = 211341312.

The previous prime is 828324443. The next prime is 828324481. The reversal of 828324480 is 84423828.

It is a super-2 number, since 2×828324480² = 1372242888334540800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (828324481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6522177 + ... + 6522303.

It is an arithmetic number, because the mean of its divisors is an integer number (10771200).

Almost surely, 2^828324480 is an apocalyptic number.

828324480 is a gapful number since it is divisible by the number (80) 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 828324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378713600).

828324480 is an abundant number, since it is smaller than the sum of its proper divisors (1929102720).

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

828324480 is a wasteful number, since it uses less digits than its factorization.

828324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 828324480 is about 28780.6268173575. The cubic root of 828324480 is about 939.1468341503.

The spelling of 828324480 in words is "eight hundred twenty-eight million, three hundred twenty-four thousand, four hundred eighty".