26129628 has 120 divisors (see below), whose sum is σ = 80254944. Its totient is φ = 7257600.

The previous prime is 26129627. The next prime is 26129639. The reversal of 26129628 is 82692162.

It is a happy number.

26129628 is a `hidden beast` number, since 2 + 6 + 1 + 29 + 628 = 666.

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 = 26129592 and 26129601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26129627) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92848 + ... + 93128.

Almost surely, 2^26129628 is an apocalyptic number.

26129628 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 26129628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40127472).

26129628 is an abundant number, since it is smaller than the sum of its proper divisors (54125316).

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

26129628 is a wasteful number, since it uses less digits than its factorization.

26129628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 26129628 is about 5111.7147807756. The cubic root of 26129628 is about 296.7411273488.

The spelling of 26129628 in words is "twenty-six million, one hundred twenty-nine thousand, six hundred twenty-eight".