26724327828 has 192 divisors, whose sum is σ = 73989780480. Its totient is φ = 7415654400.

The previous prime is 26724327827. The next prime is 26724327829. The reversal of 26724327828 is 82872342762.

It is an interprime number because it is at equal distance from previous prime (26724327827) and next prime (26724327829).

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

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26724327827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40429818 + ... + 40430478.

It is an arithmetic number, because the mean of its divisors is an integer number (385363440).

Almost surely, 2^26724327828 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 26724327828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36994890240).

26724327828 is an abundant number, since it is smaller than the sum of its proper divisors (47265452652).

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

26724327828 is a wasteful number, since it uses less digits than its factorization.

26724327828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1156 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 51.

The spelling of 26724327828 in words is "twenty-six billion, seven hundred twenty-four million, three hundred twenty-seven thousand, eight hundred twenty-eight".