26788272 has 80 divisors (see below), whose sum is σ = 80447232. Its totient is φ = 7522560.

The previous prime is 26788253. The next prime is 26788291. The reversal of 26788272 is 27288762.

It is an interprime number because it is at equal distance from previous prime (26788253) and next prime (26788291).

It is a super-2 number, since 2×26788272² = 1435223033491968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19843 + ... + 21149.

Almost surely, 2^26788272 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 26788272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40223616).

26788272 is an abundant number, since it is smaller than the sum of its proper divisors (53658960).

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

26788272 is a wasteful number, since it uses less digits than its factorization.

26788272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1380 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 26788272 is about 5175.7387878447. The cubic root of 26788272 is about 299.2137634627.

The spelling of 26788272 in words is "twenty-six million, seven hundred eighty-eight thousand, two hundred seventy-two".