63923328 has 96 divisors (see below), whose sum is σ = 210250560. Its totient is φ = 18261504.

The previous prime is 63923311. The next prime is 63923329. The reversal of 63923328 is 82332936.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 63923292 and 63923301.

It is not an unprimeable number, because it can be changed into a prime (63923329) 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, 4101 + ... + 12027.

It is an arithmetic number, because the mean of its divisors is an integer number (2190110).

Almost surely, 2^63923328 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 63923328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105125280).

63923328 is an abundant number, since it is smaller than the sum of its proper divisors (146327232).

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

63923328 is a wasteful number, since it uses less digits than its factorization.

63923328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7954 (or 7939 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 63923328 is about 7995.2065639357. The cubic root of 63923328 is about 399.8402028373.

The spelling of 63923328 in words is "sixty-three million, nine hundred twenty-three thousand, three hundred twenty-eight".