26980128 has 120 divisors (see below), whose sum is σ = 90744192. Its totient is φ = 7703424.

The previous prime is 26980123. The next prime is 26980147. The reversal of 26980128 is 82108962.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26980092 and 26980101.

It is not an unprimeable number, because it can be changed into a prime (26980123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17401 + ... + 18887.

Almost surely, 2^26980128 is an apocalyptic number.

26980128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26980128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45372096).

26980128 is an abundant number, since it is smaller than the sum of its proper divisors (63764064).

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

26980128 is a wasteful number, since it uses less digits than its factorization.

26980128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 26980128 is about 5194.2398866437. The cubic root of 26980128 is about 299.9263819361.

The spelling of 26980128 in words is "twenty-six million, nine hundred eighty thousand, one hundred twenty-eight".