828731520 has 256 divisors, whose sum is σ = 2962080000. Its totient is φ = 218972160.

The previous prime is 828731503. The next prime is 828731537. The reversal of 828731520 is 25137828.

It is an interprime number because it is at equal distance from previous prime (828731503) and next prime (828731537).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3438600 + ... + 3438840.

It is an arithmetic number, because the mean of its divisors is an integer number (11570625).

Almost surely, 2^828731520 is an apocalyptic number.

828731520 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 828731520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481040000).

828731520 is an abundant number, since it is smaller than the sum of its proper divisors (2133348480).

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

828731520 is a wasteful number, since it uses less digits than its factorization.

828731520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 828731520 is about 28787.6973723151. The cubic root of 828731520 is about 939.3006417211.

The spelling of 828731520 in words is "eight hundred twenty-eight million, seven hundred thirty-one thousand, five hundred twenty".