828978340200 has 96 divisors (see below), whose sum is σ = 2594782881600. Its totient is φ = 218914652160.

The previous prime is 828978340199. The next prime is 828978340207. The reversal of 828978340200 is 2043879828.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (828978340207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6645145 + ... + 6768744.

It is an arithmetic number, because the mean of its divisors is an integer number (27028988350).

Almost surely, 2^828978340200 is an apocalyptic number.

It is an amenable number.

828978340200 is an abundant number, since it is smaller than the sum of its proper divisors (1765804541400).

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

828978340200 is a wasteful number, since it uses less digits than its factorization.

828978340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13414011 (or 13414002 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 828978340200 in words is "eight hundred twenty-eight billion, nine hundred seventy-eight million, three hundred forty thousand, two hundred".