32828504256 has 210 divisors, whose sum is σ = 101737469372. Its totient is φ = 10466184960.

The previous prime is 32828504251. The next prime is 32828504287. The reversal of 32828504256 is 65240582823.

32828504256 is a `hidden beast` number, since 328 + 28 + 50 + 4 + 256 = 666.

It is a super-2 number, since 2×32828504256² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32828504251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2736351 + ... + 2748321.

Almost surely, 2^32828504256 is an apocalyptic number.

32828504256 is a gapful number since it is divisible by the number (36) 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 32828504256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50868734686).

32828504256 is an abundant number, since it is smaller than the sum of its proper divisors (68908965116).

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

32828504256 is a wasteful number, since it uses less digits than its factorization.

32828504256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12041 (or 11999 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 32828504256 in words is "thirty-two billion, eight hundred twenty-eight million, five hundred four thousand, two hundred fifty-six".