26783972628 has 96 divisors (see below), whose sum is σ = 72007004160. Its totient is φ = 7590318720.

The previous prime is 26783972597. The next prime is 26783972629. The reversal of 26783972628 is 82627938762.

26783972628 is a nontrivial binomial coefficient, being equal to C(231448, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26783972629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6478450 + ... + 6482582.

It is an arithmetic number, because the mean of its divisors is an integer number (750072960).

Almost surely, 2^26783972628 is an apocalyptic number.

26783972628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

26783972628 is the 231447-th triangular number and also the 115724-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26783972628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36003502080).

26783972628 is an abundant number, since it is smaller than the sum of its proper divisors (45223031532).

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

26783972628 is a wasteful number, since it uses less digits than its factorization.

26783972628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4755 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The spelling of 26783972628 in words is "twenty-six billion, seven hundred eighty-three million, nine hundred seventy-two thousand, six hundred twenty-eight".