305428156704 has 720 divisors, whose sum is σ = 1033346559168. Its totient is φ = 87744384000.

The previous prime is 305428156643. The next prime is 305428156711. The reversal of 305428156704 is 407651824503.

305428156704 is a `hidden beast` number, since 3 + 0 + 5 + 4 + 2 + 81 + 567 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 305428156704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1945402194 + ... + 1945402350.

Almost surely, 2^305428156704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305428156704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516673279584).

305428156704 is an abundant number, since it is smaller than the sum of its proper divisors (727918402464).

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

305428156704 is a wasteful number, since it uses less digits than its factorization.

305428156704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 305428156704 in words is "three hundred five billion, four hundred twenty-eight million, one hundred fifty-six thousand, seven hundred four".