123828480 has 144 divisors (see below), whose sum is σ = 439541760. Its totient is φ = 33011712.

The previous prime is 123828461. The next prime is 123828563. The reversal of 123828480 is 84828321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×123828480² = 30666984918220800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32769 + ... + 36351.

Almost surely, 2^123828480 is an apocalyptic number.

123828480 is a gapful number since it is divisible by the number (10) 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 123828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219770880).

123828480 is an abundant number, since it is smaller than the sum of its proper divisors (315713280).

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

123828480 is an equidigital number, since it uses as much as digits as its factorization.

123828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 123828480 is about 11127.8245852458. The cubic root of 123828480 is about 498.4330679107.

The spelling of 123828480 in words is "one hundred twenty-three million, eight hundred twenty-eight thousand, four hundred eighty".