11792628 has 60 divisors (see below), whose sum is σ = 32656932. Its totient is φ = 3697920.

The previous prime is 11792609. The next prime is 11792681. The reversal of 11792628 is 82629711.

It can be written as a sum of positive squares in 2 ways, for example, as 10381284 + 1411344 = 3222^2 + 1188^2 .

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 = 11792592 and 11792601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4438 + ... + 6578.

Almost surely, 2^11792628 is an apocalyptic number.

11792628 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 11792628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16328466).

11792628 is an abundant number, since it is smaller than the sum of its proper divisors (20864304).

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

11792628 is a wasteful number, since it uses less digits than its factorization.

11792628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2163 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 11792628 is about 3434.0396037320. The cubic root of 11792628 is about 227.6163909524.

The spelling of 11792628 in words is "eleven million, seven hundred ninety-two thousand, six hundred twenty-eight".