828786816 has 480 divisors, whose sum is σ = 2981333520. Its totient is φ = 226437120.

The previous prime is 828786799. The next prime is 828786817. The reversal of 828786816 is 618687828.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2064384) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (828786817) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19274091 + ... + 19274133.

Almost surely, 2^828786816 is an apocalyptic number.

828786816 is a gapful number since it is divisible by the number (86) 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 828786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490666760).

828786816 is an abundant number, since it is smaller than the sum of its proper divisors (2152546704).

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

828786816 is a wasteful number, since it uses less digits than its factorization.

828786816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 828786816 is about 28788.6577665580. The cubic root of 828786816 is about 939.3215324487.

The spelling of 828786816 in words is "eight hundred twenty-eight million, seven hundred eighty-six thousand, eight hundred sixteen".