828828144 has 60 divisors (see below), whose sum is σ = 2322566376. Its totient is φ = 275918976.

The previous prime is 828828137. The next prime is 828828163. The reversal of 828828144 is 441828828.

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 828828144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123007 + ... + 129569.

Almost surely, 2^828828144 is an apocalyptic number.

It is an amenable number.

828828144 is an abundant number, since it is smaller than the sum of its proper divisors (1493738232).

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

828828144 is a wasteful number, since it uses less digits than its factorization.

828828144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7454 (or 7445 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 828828144 is about 28789.3755402926. The cubic root of 828828144 is about 939.3371454846.

The spelling of 828828144 in words is "eight hundred twenty-eight million, eight hundred twenty-eight thousand, one hundred forty-four".