828555264 has 120 divisors (see below), whose sum is σ = 2456214320. Its totient is φ = 276037632.

The previous prime is 828555257. The next prime is 828555269. The reversal of 828555264 is 462555828.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (828555269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441432 + ... + 443304.

Almost surely, 2^828555264 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 828555264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228107160).

828555264 is an abundant number, since it is smaller than the sum of its proper divisors (1627659056).

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

828555264 is an equidigital number, since it uses as much as digits as its factorization.

828555264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1878 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 828555264 is about 28784.6359018140. The cubic root of 828555264 is about 939.2340463247.

The spelling of 828555264 in words is "eight hundred twenty-eight million, five hundred fifty-five thousand, two hundred sixty-four".