63828480 has 80 divisors (see below), whose sum is σ = 204076224. Its totient is φ = 17018880.

The previous prime is 63828461. The next prime is 63828481. The reversal of 63828480 is 8482836.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×63828480² = 8148149718220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (63828481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3525 + ... + 11835.

Almost surely, 2^63828480 is an apocalyptic number.

63828480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102038112).

63828480 is an abundant number, since it is smaller than the sum of its proper divisors (140247744).

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

63828480 is an equidigital number, since it uses as much as digits as its factorization.

63828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8337 (or 8321 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 63828480 is about 7989.2728079594. The cubic root of 63828480 is about 399.6423469728.

The spelling of 63828480 in words is "sixty-three million, eight hundred twenty-eight thousand, four hundred eighty".