11628253 has 16 divisors (see below), whose sum is σ = 14587776. Its totient is φ = 9023040.

The previous prime is 11628241. The next prime is 11628259. The reversal of 11628253 is 35282611.

11628253 is a nontrivial binomial coefficient, being equal to C(4823, 2).

It is not a de Polignac number, because 11628253 - 2¹⁷ = 11497181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11628259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3618 + ... + 6028.

It is an arithmetic number, because the mean of its divisors is an integer number (911736).

Almost surely, 2^11628253 is an apocalyptic number.

11628253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11628253 is the 4822-nd triangular number.

11628253 is the 1608-th centered nonagonal number.

It is an amenable number.

11628253 is a deficient number, since it is larger than the sum of its proper divisors (2959523).

11628253 is a wasteful number, since it uses less digits than its factorization.

11628253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484.

The product of its digits is 2880, while the sum is 28.

The square root of 11628253 is about 3410.0224339438. The cubic root of 11628253 is about 226.5538728986.

It can be divided in two parts, 11628 and 253, that added together give a square (11881 = 109²).

The spelling of 11628253 in words is "eleven million, six hundred twenty-eight thousand, two hundred fifty-three".