63905328 has 80 divisors (see below), whose sum is σ = 189794400. Its totient is φ = 20563200.

The previous prime is 63905311. The next prime is 63905371. The reversal of 63905328 is 82350936.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 63905292 and 63905301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9978 + ... + 15078.

It is an arithmetic number, because the mean of its divisors is an integer number (2372430).

Almost surely, 2^63905328 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 63905328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94897200).

63905328 is an abundant number, since it is smaller than the sum of its proper divisors (125889072).

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

63905328 is a wasteful number, since it uses less digits than its factorization.

63905328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5147 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 63905328 is about 7994.0808101995. The cubic root of 63905328 is about 399.8026693342.

The spelling of 63905328 in words is "sixty-three million, nine hundred five thousand, three hundred twenty-eight".