828146520 has 96 divisors (see below), whose sum is σ = 2702250720. Its totient is φ = 219955200.

The previous prime is 828146519. The next prime is 828146531. The reversal of 828146520 is 25641828.

It is a super-2 number, since 2×828146520² = 1371653317176220800, which contains 22 as substring.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88045 + ... + 96995.

It is an arithmetic number, because the mean of its divisors is an integer number (28148445).

Almost surely, 2^828146520 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 828146520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351125360).

828146520 is an abundant number, since it is smaller than the sum of its proper divisors (1874104200).

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

828146520 is a wasteful number, since it uses less digits than its factorization.

828146520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9225 (or 9218 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 828146520 is about 28777.5349882508. The cubic root of 828146520 is about 939.0795728515.

The spelling of 828146520 in words is "eight hundred twenty-eight million, one hundred forty-six thousand, five hundred twenty".