828536040 has 320 divisors, whose sum is σ = 3009124800. Its totient is φ = 203793408.

The previous prime is 828535993. The next prime is 828536041. The reversal of 828536040 is 40635828.

828536040 is a `hidden beast` number, since 82 + 8 + 536 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 828535986 and 828536004.

It is not an unprimeable number, because it can be changed into a prime (828536041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2646924 + ... + 2647236.

It is an arithmetic number, because the mean of its divisors is an integer number (9403515).

Almost surely, 2^828536040 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 828536040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504562400).

828536040 is an abundant number, since it is smaller than the sum of its proper divisors (2180588760).

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

828536040 is a wasteful number, since it uses less digits than its factorization.

828536040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 385 counting only the distinct ones).

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

The square root of 828536040 is about 28784.3019717345. The cubic root of 828536040 is about 939.2267822850.

The spelling of 828536040 in words is "eight hundred twenty-eight million, five hundred thirty-six thousand, forty".