828396144 has 120 divisors (see below), whose sum is σ = 2390492832. Its totient is φ = 267632640.

The previous prime is 828396139. The next prime is 828396157. The reversal of 828396144 is 441693828.

It is a happy number.

828396144 is a `hidden beast` number, since 8 + 28 + 3 + 9 + 614 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 828396144.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1139109 + ... + 1139835.

Almost surely, 2^828396144 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 828396144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195246416).

828396144 is an abundant number, since it is smaller than the sum of its proper divisors (1562096688).

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

828396144 is a wasteful number, since it uses less digits than its factorization.

828396144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 966 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 828396144 is about 28781.8717945863. The cubic root of 828396144 is about 939.1739173685.

The spelling of 828396144 in words is "eight hundred twenty-eight million, three hundred ninety-six thousand, one hundred forty-four".