11628480 has 56 divisors (see below), whose sum is σ = 36923472. Its totient is φ = 3100672.

The previous prime is 11628469. The next prime is 11628497. The reversal of 11628480 is 8482611.

11628480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11628480² = 270443094220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5097 + ... + 7016.

Almost surely, 2^11628480 is an apocalyptic number.

11628480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11628480 is an abundant number, since it is smaller than the sum of its proper divisors (25294992).

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

11628480 is a wasteful number, since it uses less digits than its factorization.

11628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12133 (or 12123 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 11628480 is about 3410.0557180199. The cubic root of 11628480 is about 226.5553471067. Note that the first 3 decimals are identical.

The spelling of 11628480 in words is "eleven million, six hundred twenty-eight thousand, four hundred eighty".