104480928 has 120 divisors (see below), whose sum is σ = 310378068. Its totient is φ = 34477056.

The previous prime is 104480921. The next prime is 104480947. The reversal of 104480928 is 829084401.

It can be written as a sum of positive squares in 2 ways, for example, as 103795344 + 685584 = 10188^2 + 828^2 .

It is a super-4 number, since 4×104480928⁴ (a number of 33 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 104480892 and 104480901.

It is not an unprimeable number, because it can be changed into a prime (104480921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 448300 + ... + 448532.

Almost surely, 2^104480928 is an apocalyptic number.

104480928 is a gapful number since it is divisible by the number (18) 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 104480928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155189034).

104480928 is an abundant number, since it is smaller than the sum of its proper divisors (205897140).

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

104480928 is a wasteful number, since it uses less digits than its factorization.

104480928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 104480928 is about 10221.5912655516. The cubic root of 104480928 is about 470.9907093790.

The spelling of 104480928 in words is "one hundred four million, four hundred eighty thousand, nine hundred twenty-eight".