828660288 has 112 divisors (see below), whose sum is σ = 2286674624. Its totient is φ = 264591360.

The previous prime is 828660271. The next prime is 828660293. The reversal of 828660288 is 882066828.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475098 + ... + 476838.

Almost surely, 2^828660288 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 828660288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143337312).

828660288 is an abundant number, since it is smaller than the sum of its proper divisors (1458014336).

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

828660288 is a wasteful number, since it uses less digits than its factorization.

828660288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 828660288 is about 28786.4601505638. The cubic root of 828660288 is about 939.2737290324.

The spelling of 828660288 in words is "eight hundred twenty-eight million, six hundred sixty thousand, two hundred eighty-eight".