11468628 has 108 divisors (see below), whose sum is σ = 33065760. Its totient is φ = 3464208.

The previous prime is 11468627. The next prime is 11468683. The reversal of 11468628 is 82686411.

It is a tau number, because it is divible by the number of its divisors (108).

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 = 11468592 and 11468601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11468621) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 498625 + ... + 498647.

Almost surely, 2^11468628 is an apocalyptic number.

11468628 is a gapful number since it is divisible by the number (18) 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 11468628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16532880).

11468628 is an abundant number, since it is smaller than the sum of its proper divisors (21597132).

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

11468628 is an equidigital number, since it uses as much as digits as its factorization.

11468628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 11468628 is about 3386.5362835794. The cubic root of 11468628 is about 225.5124320624.

The spelling of 11468628 in words is "eleven million, four hundred sixty-eight thousand, six hundred twenty-eight".