828464364 has 216 divisors, whose sum is σ = 2651157600. Its totient is φ = 217945728.

The previous prime is 828464333. The next prime is 828464381. The reversal of 828464364 is 463464828.

828464364 is a `hidden beast` number, since 8 + 284 + 6 + 4 + 364 = 666.

828464364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2086614 + ... + 2087010.

Almost surely, 2^828464364 is an apocalyptic number.

828464364 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 828464364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325578800).

828464364 is an abundant number, since it is smaller than the sum of its proper divisors (1822693236).

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

828464364 is a wasteful number, since it uses less digits than its factorization.

828464364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 422 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 828464364 is about 28783.0568911643. The cubic root of 828464364 is about 939.1996975810.

It can be divided in two parts, 828464 and 364, that added together give a palindrome (828828).

The spelling of 828464364 in words is "eight hundred twenty-eight million, four hundred sixty-four thousand, three hundred sixty-four".