828272427300 has 54 divisors (see below), whose sum is σ = 2596173911058. Its totient is φ = 220872647040.

The previous prime is 828272427277. The next prime is 828272427337. The reversal of 828272427300 is 3724272828.

828272427300 is a `hidden beast` number, since 82 + 8 + 27 + 242 + 7 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 160525230336 + 667747196964 = 400656^2 + 817158^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460150449 + ... + 460152248.

Almost surely, 2^828272427300 is an apocalyptic number.

It is an amenable number.

828272427300 is an abundant number, since it is smaller than the sum of its proper divisors (1767901483758).

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

828272427300 is a wasteful number, since it uses less digits than its factorization.

828272427300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920302717 (or 920302707 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 828272427300 in words is "eight hundred twenty-eight billion, two hundred seventy-two million, four hundred twenty-seven thousand, three hundred".