828403524 has 189 divisors, whose sum is σ = 2412429159. Its totient is φ = 248676480.

The previous prime is 828403507. The next prime is 828403549. The reversal of 828403524 is 425304828.

The square root of 828403524 is 28782.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 551780100 + 276623424 = 23490^2 + 16632^2 .

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 (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 20204944 + ... + 20204984.

Almost surely, 2^828403524 is an apocalyptic number.

828403524 is the 28782-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828403524

828403524 is an abundant number, since it is smaller than the sum of its proper divisors (1584025635).

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

828403524 is a wasteful number, since it uses less digits than its factorization.

828403524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The cubic root of 828403524 is about 939.1767063252.

Multiplying 828403524 by its sum of digits (36), we get a square (29822526864 = 172692²).

828403524 divided by its sum of digits (36) gives a square (23011209 = 4797²).

The spelling of 828403524 in words is "eight hundred twenty-eight million, four hundred three thousand, five hundred twenty-four".