63628896 has 48 divisors (see below), whose sum is σ = 168772464. Its totient is φ = 20987904.

The previous prime is 63628883. The next prime is 63628897. The reversal of 63628896 is 69882636.

63628896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63628897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5896 + ... + 12728.

It is an arithmetic number, because the mean of its divisors is an integer number (3516093).

Almost surely, 2^63628896 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 63628896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84386232).

63628896 is an abundant number, since it is smaller than the sum of its proper divisors (105143568).

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

63628896 is a wasteful number, since it uses less digits than its factorization.

63628896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6943 (or 6935 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 63628896 is about 7976.7722795627. The cubic root of 63628896 is about 399.2253674963.

The spelling of 63628896 in words is "sixty-three million, six hundred twenty-eight thousand, eight hundred ninety-six".