305104128 has 288 divisors, whose sum is σ = 1020364800. Its totient is φ = 78962688.

The previous prime is 305104103. The next prime is 305104153. The reversal of 305104128 is 821401503.

It is an interprime number because it is at equal distance from previous prime (305104103) and next prime (305104153).

It is a super-3 number, since 3×305104128³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 305104098 and 305104107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2962125 + ... + 2962227.

Almost surely, 2^305104128 is an apocalyptic number.

305104128 is a gapful number since it is divisible by the number (38) 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 305104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510182400).

305104128 is an abundant number, since it is smaller than the sum of its proper divisors (715260672).

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

305104128 is a wasteful number, since it uses less digits than its factorization.

305104128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 305104128 is about 17467.2301181384. The cubic root of 305104128 is about 673.2081441167.

The spelling of 305104128 in words is "three hundred five million, one hundred four thousand, one hundred twenty-eight".