828501120 has 192 divisors, whose sum is σ = 3029565240. Its totient is φ = 207912960.

The previous prime is 828501097. The next prime is 828501139. The reversal of 828501120 is 21105828.

It can be written as a sum of positive squares in 4 ways, for example, as 814303296 + 14197824 = 28536^2 + 3768^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93690 + ... + 102150.

Almost surely, 2^828501120 is an apocalyptic number.

828501120 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 828501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514782620).

828501120 is an abundant number, since it is smaller than the sum of its proper divisors (2201064120).

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

828501120 is a wasteful number, since it uses less digits than its factorization.

828501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8503 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 828501120 is about 28783.6953847139. The cubic root of 828501120 is about 939.2135870192.

Adding to 828501120 its reverse (21105828), we get a palindrome (849606948).

The spelling of 828501120 in words is "eight hundred twenty-eight million, five hundred one thousand, one hundred twenty".