305000028800 has 48 divisors (see below), whose sum is σ = 753445391550. Its totient is φ = 122000010240.

The previous prime is 305000028799. The next prime is 305000028803. The reversal of 305000028800 is 8820000503.

It can be written as a sum of positive squares in 3 ways, for example, as 266247744064 + 38752284736 = 515992^2 + 196856^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 305000028800.

It is not an unprimeable number, because it can be changed into a prime (305000028803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47653055 + ... + 47659454.

Almost surely, 2^305000028800 is an apocalyptic number.

It is an amenable number.

305000028800 is an abundant number, since it is smaller than the sum of its proper divisors (448445362750).

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

305000028800 is an equidigital number, since it uses as much as digits as its factorization.

305000028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95312533 (or 95312516 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 305000028800 in words is "three hundred five billion, twenty-eight thousand, eight hundred".