11628990 has 48 divisors (see below), whose sum is σ = 30464928. Its totient is φ = 3077568.

The previous prime is 11628941. The next prime is 11628997. The reversal of 11628990 is 9982611.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11628997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13719 + ... + 14541.

It is an arithmetic number, because the mean of its divisors is an integer number (634686).

Almost surely, 2^11628990 is an apocalyptic number.

11628990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11628990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15232464).

11628990 is an abundant number, since it is smaller than the sum of its proper divisors (18835938).

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

11628990 is a wasteful number, since it uses less digits than its factorization.

11628990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 11628990 is about 3410.1304960368. The cubic root of 11628990 is about 226.5586591343.

The spelling of 11628990 in words is "eleven million, six hundred twenty-eight thousand, nine hundred ninety".