828727536 has 320 divisors, whose sum is σ = 2811820032. Its totient is φ = 204374016.

The previous prime is 828727531. The next prime is 828727561. The reversal of 828727536 is 635727828.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1128960) is a multiple of the sum of its prime factors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828727531) 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 63 ways as a sum of consecutive naturals, for example, 7333816 + ... + 7333928.

Almost surely, 2^828727536 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 828727536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405910016).

828727536 is an abundant number, since it is smaller than the sum of its proper divisors (1983092496).

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

828727536 is a wasteful number, since it uses less digits than its factorization.

828727536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 828727536 is about 28787.6281760064. The cubic root of 828727536 is about 939.2991365374.

The spelling of 828727536 in words is "eight hundred twenty-eight million, seven hundred twenty-seven thousand, five hundred thirty-six".