828539520 has 256 divisors, whose sum is σ = 2762812800. Its totient is φ = 211009536.

The previous prime is 828539507. The next prime is 828539539. The reversal of 828539520 is 25935828.

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, 7601226 + ... + 7601334.

Almost surely, 2^828539520 is an apocalyptic number.

828539520 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 828539520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381406400).

828539520 is an abundant number, since it is smaller than the sum of its proper divisors (1934273280).

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

828539520 is a wasteful number, since it uses less digits than its factorization.

828539520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 828539520 is about 28784.3624212870. The cubic root of 828539520 is about 939.2280972569.

The spelling of 828539520 in words is "eight hundred twenty-eight million, five hundred thirty-nine thousand, five hundred twenty".