26828164272 has 160 divisors (see below), whose sum is σ = 86259479040. Its totient is φ = 6995957760.

The previous prime is 26828164213. The next prime is 26828164309. The reversal of 26828164272 is 27246182862.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354247 + ... + 423257.

It is an arithmetic number, because the mean of its divisors is an integer number (539121744).

Almost surely, 2^26828164272 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 26828164272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43129739520).

26828164272 is an abundant number, since it is smaller than the sum of its proper divisors (59431314768).

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

26828164272 is a wasteful number, since it uses less digits than its factorization.

26828164272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69131 (or 69125 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The spelling of 26828164272 in words is "twenty-six billion, eight hundred twenty-eight million, one hundred sixty-four thousand, two hundred seventy-two".