828624227328 has 132 divisors (see below), whose sum is σ = 2450992530168. Its totient is φ = 269471170560.

The previous prime is 828624227317. The next prime is 828624227329. The reversal of 828624227328 is 823722426828.

828624227328 is a `hidden beast` number, since 8 + 2 + 8 + 624 + 2 + 2 + 7 + 3 + 2 + 8 = 666.

It is a super-2 number, since 2×828624227328² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (828624227329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 718626 + ... + 1474337.

Almost surely, 2^828624227328 is an apocalyptic number.

It is an amenable number.

828624227328 is an abundant number, since it is smaller than the sum of its proper divisors (1622368302840).

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

828624227328 is a wasteful number, since it uses less digits than its factorization.

828624227328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193030 (or 2193009 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 828624227328 in words is "eight hundred twenty-eight billion, six hundred twenty-four million, two hundred twenty-seven thousand, three hundred twenty-eight".