828504936 has 240 divisors, whose sum is σ = 2737419300. Its totient is φ = 233404416.

The previous prime is 828504907. The next prime is 828504953. The reversal of 828504936 is 639405828.

828504936 is a `hidden beast` number, since 82 + 85 + 0 + 493 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 761428836 + 67076100 = 27594^2 + 8190^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 828504891 and 828504900.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3079810 + ... + 3080078.

Almost surely, 2^828504936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828504936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368709650).

828504936 is an abundant number, since it is smaller than the sum of its proper divisors (1908914364).

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

828504936 is a wasteful number, since it uses less digits than its factorization.

828504936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 828504936 is about 28783.7616721651. The cubic root of 828504936 is about 939.2150289941.

The spelling of 828504936 in words is "eight hundred twenty-eight million, five hundred four thousand, nine hundred thirty-six".