828875520 has 432 divisors, whose sum is σ = 3244760064. Its totient is φ = 193536000.

The previous prime is 828875501. The next prime is 828875581. The reversal of 828875520 is 25578828.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3928215 + ... + 3928425.

Almost surely, 2^828875520 is an apocalyptic number.

828875520 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 828875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622380032).

828875520 is an abundant number, since it is smaller than the sum of its proper divisors (2415884544).

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

828875520 is a wasteful number, since it uses less digits than its factorization.

828875520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 828875520 is about 28790.1983320713. The cubic root of 828875520 is about 939.3550427166.

The spelling of 828875520 in words is "eight hundred twenty-eight million, eight hundred seventy-five thousand, five hundred twenty".