63728496 has 120 divisors (see below), whose sum is σ = 195664560. Its totient is φ = 19243008.

The previous prime is 63728491. The next prime is 63728501. The reversal of 63728496 is 69482736.

63728496 is a `hidden beast` number, since 637 + 2 + 8 + 4 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (63728491) and next prime (63728501).

It is a super-2 number, since 2×63728496² = 8122642404844032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63728491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110160 + ... + 110736.

It is an arithmetic number, because the mean of its divisors is an integer number (1630538).

Almost surely, 2^63728496 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 63728496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97832280).

63728496 is an abundant number, since it is smaller than the sum of its proper divisors (131936064).

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

63728496 is a wasteful number, since it uses less digits than its factorization.

63728496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 654 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 63728496 is about 7983.0129650402. The cubic root of 63728496 is about 399.4335649236.

The spelling of 63728496 in words is "sixty-three million, seven hundred twenty-eight thousand, four hundred ninety-six".