32828256 has 72 divisors (see below), whose sum is σ = 96393024. Its totient is φ = 10586880.

The previous prime is 32828251. The next prime is 32828281. The reversal of 32828256 is 65282823.

32828256 is a `hidden beast` number, since 328 + 282 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 32828256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32828251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7090 + ... + 10766.

It is an arithmetic number, because the mean of its divisors is an integer number (1338792).

Almost surely, 2^32828256 is an apocalyptic number.

32828256 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 32828256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48196512).

32828256 is an abundant number, since it is smaller than the sum of its proper divisors (63564768).

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

32828256 is a wasteful number, since it uses less digits than its factorization.

32828256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724 (or 3713 counting only the distinct ones).

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

The square root of 32828256 is about 5729.5947500674. The cubic root of 32828256 is about 320.1960257273.

The spelling of 32828256 in words is "thirty-two million, eight hundred twenty-eight thousand, two hundred fifty-six".