3202633728 has 390 divisors, whose sum is σ = 11185678746. Its totient is φ = 910393344.

The previous prime is 3202633727. The next prime is 3202633739. The reversal of 3202633728 is 8273362023.

It is a happy number.

3202633728 is a `hidden beast` number, since 3 + 20 + 263 + 372 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3186376704 + 16257024 = 56448^2 + 4032^2 .

It is a super-3 number, since 3×3202633728³ (a number of 29 digits) contains 333 as substring.

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 = 3202633692 and 3202633701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3202633727) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16256926 + ... + 16257122.

Almost surely, 2^3202633728 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 3202633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592839373).

3202633728 is an abundant number, since it is smaller than the sum of its proper divisors (7983045018).

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

3202633728 is an equidigital number, since it uses as much as digits as its factorization.

3202633728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3202633728 is about 56591.8167935966. The cubic root of 3202633728 is about 1474.0167692984.

The spelling of 3202633728 in words is "three billion, two hundred two million, six hundred thirty-three thousand, seven hundred twenty-eight".