828375520 has 48 divisors (see below), whose sum is σ = 2236616928. Its totient is φ = 284014080.

The previous prime is 828375511. The next prime is 828375529. The reversal of 828375520 is 25573828.

It is an interprime number because it is at equal distance from previous prime (828375511) and next prime (828375529).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828375529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368691 + ... + 370930.

It is an arithmetic number, because the mean of its divisors is an integer number (46596186).

Almost surely, 2^828375520 is an apocalyptic number.

828375520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828375520 is an abundant number, since it is smaller than the sum of its proper divisors (1408241408).

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

828375520 is a wasteful number, since it uses less digits than its factorization.

828375520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739643 (or 739635 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 828375520 is about 28781.5135112801. The cubic root of 828375520 is about 939.1661233182.

The spelling of 828375520 in words is "eight hundred twenty-eight million, three hundred seventy-five thousand, five hundred twenty".