828101016 has 256 divisors, whose sum is σ = 2617344000. Its totient is φ = 241211520.

The previous prime is 828100981. The next prime is 828101017. The reversal of 828101016 is 610101828.

828101016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828101017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2926011 + ... + 2926293.

It is an arithmetic number, because the mean of its divisors is an integer number (10224000).

Almost surely, 2^828101016 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 828101016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308672000).

828101016 is an abundant number, since it is smaller than the sum of its proper divisors (1789242984).

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

828101016 is a wasteful number, since it uses less digits than its factorization.

828101016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 828101016 is about 28776.7443606812. The cubic root of 828101016 is about 939.0623727311.

The spelling of 828101016 in words is "eight hundred twenty-eight million, one hundred one thousand, sixteen".