828148320 has 192 divisors, whose sum is σ = 2954024640. Its totient is φ = 216612864.

The previous prime is 828148301. The next prime is 828148351. The reversal of 828148320 is 23841828.

It is a happy number.

828148320 is a `hidden beast` number, since 82 + 81 + 483 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227152 + ... + 230768.

It is an arithmetic number, because the mean of its divisors is an integer number (15385545).

Almost surely, 2^828148320 is an apocalyptic number.

828148320 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 828148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477012320).

828148320 is an abundant number, since it is smaller than the sum of its proper divisors (2125876320).

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

828148320 is a wasteful number, since it uses less digits than its factorization.

828148320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 828148320 is about 28777.5662626290. The cubic root of 828148320 is about 939.0802532231.

The spelling of 828148320 in words is "eight hundred twenty-eight million, one hundred forty-eight thousand, three hundred twenty".