828623520 has 240 divisors, whose sum is σ = 3097194408. Its totient is φ = 207912960.

The previous prime is 828623501. The next prime is 828623527. The reversal of 828623520 is 25326828.

828623520 is a `hidden beast` number, since 8 + 2 + 8 + 623 + 5 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 734843664 + 93779856 = 27108^2 + 9684^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828623527) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 218440 + ... + 222200.

Almost surely, 2^828623520 is an apocalyptic number.

828623520 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 828623520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548597204).

828623520 is an abundant number, since it is smaller than the sum of its proper divisors (2268570888).

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

828623520 is a wasteful number, since it uses less digits than its factorization.

828623520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 828623520 is about 28785.8215099031. The cubic root of 828623520 is about 939.2598368389.

The spelling of 828623520 in words is "eight hundred twenty-eight million, six hundred twenty-three thousand, five hundred twenty".