828241920 has 576 divisors, whose sum is σ = 3372969600. Its totient is φ = 185794560.

The previous prime is 828241919. The next prime is 828241927. The reversal of 828241920 is 29142828.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828241927) 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 47 ways as a sum of consecutive naturals, for example, 19261419 + ... + 19261461.

It is an arithmetic number, because the mean of its divisors is an integer number (5855850).

Almost surely, 2^828241920 is an apocalyptic number.

828241920 is a gapful number since it is divisible by the number (80) 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 828241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686484800).

828241920 is an abundant number, since it is smaller than the sum of its proper divisors (2544727680).

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

828241920 is a wasteful number, since it uses less digits than its factorization.

828241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 828241920 is about 28779.1924834593. The cubic root of 828241920 is about 939.1156311855.

The spelling of 828241920 in words is "eight hundred twenty-eight million, two hundred forty-one thousand, nine hundred twenty".