26829628 has 24 divisors (see below), whose sum is σ = 53780832. Its totient is φ = 11472384.

The previous prime is 26829623. The next prime is 26829629. The reversal of 26829628 is 82692862.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26829623) 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 7 ways as a sum of consecutive naturals, for example, 16500 + ... + 18052.

It is an arithmetic number, because the mean of its divisors is an integer number (2240868).

Almost surely, 2^26829628 is an apocalyptic number.

26829628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

26829628 is an abundant number, since it is smaller than the sum of its proper divisors (26951204).

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

26829628 is a wasteful number, since it uses less digits than its factorization.

26829628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2179 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The square root of 26829628 is about 5179.7324255216. The cubic root of 26829628 is about 299.3676606857.

It can be divided in two parts, 268296 and 28, that added together give a square (268324 = 518²).

The spelling of 26829628 in words is "twenty-six million, eight hundred twenty-nine thousand, six hundred twenty-eight".