104628480 has 144 divisors (see below), whose sum is σ = 364682304. Its totient is φ = 25354240.

The previous prime is 104628479. The next prime is 104628487. The reversal of 104628480 is 84826401.

It is a super-2 number, since 2×104628480² = 21894237654220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (104628487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41002 + ... + 43478.

It is an arithmetic number, because the mean of its divisors is an integer number (2532516).

Almost surely, 2^104628480 is an apocalyptic number.

104628480 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 104628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182341152).

104628480 is an abundant number, since it is smaller than the sum of its proper divisors (260053824).

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

104628480 is a wasteful number, since it uses less digits than its factorization.

104628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 104628480 is about 10228.8063819783. The cubic root of 104628480 is about 471.2123221758.

The spelling of 104628480 in words is "one hundred four million, six hundred twenty-eight thousand, four hundred eighty".