828148608 has 288 divisors, whose sum is σ = 2938628160. Its totient is φ = 222437376.

The previous prime is 828148589. The next prime is 828148613. The reversal of 828148608 is 806841828.

It is a happy number.

828148608 is a `hidden beast` number, since 8 + 28 + 14 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 959185 + ... + 960047.

It is an arithmetic number, because the mean of its divisors is an integer number (10203570).

Almost surely, 2^828148608 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 828148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469314080).

828148608 is an abundant number, since it is smaller than the sum of its proper divisors (2110479552).

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

828148608 is a wasteful number, since it uses less digits than its factorization.

828148608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 828148608 is about 28777.5712665263. The cubic root of 828148608 is about 939.0803620825.

The spelling of 828148608 in words is "eight hundred twenty-eight million, one hundred forty-eight thousand, six hundred eight".