828716616 has 384 divisors, whose sum is σ = 3045168000. Its totient is φ = 206406144.

The previous prime is 828716599. The next prime is 828716617. The reversal of 828716616 is 616617828.

It is a happy number.

828716616 is a `hidden beast` number, since 8 + 28 + 7 + 1 + 6 + 616 = 666.

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

Its product of digits (193536) is a multiple of the sum of its prime factors (378).

It is not an unprimeable number, because it can be changed into a prime (828716617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2614090 + ... + 2614406.

It is an arithmetic number, because the mean of its divisors is an integer number (7930125).

Almost surely, 2^828716616 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 828716616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522584000).

828716616 is an abundant number, since it is smaller than the sum of its proper divisors (2216451384).

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

828716616 is a wasteful number, since it uses less digits than its factorization.

828716616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 361 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 828716616 is about 28787.4385105726. The cubic root of 828716616 is about 939.2950108583.

The spelling of 828716616 in words is "eight hundred twenty-eight million, seven hundred sixteen thousand, six hundred sixteen".