11029328 has 80 divisors (see below), whose sum is σ = 24748416. Its totient is φ = 4730880.

The previous prime is 11029321. The next prime is 11029331. The reversal of 11029328 is 82392011.

11029328 = T₆₃₂ + T₆₃₃ + ... + T₆₈₂.

It is a super-2 number, since 2×11029328² = 243292152263168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11029297 and 11029306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11029321) 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, 256475 + ... + 256517.

Almost surely, 2^11029328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11029328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374208).

11029328 is an abundant number, since it is smaller than the sum of its proper divisors (13719088).

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

11029328 is a wasteful number, since it uses less digits than its factorization.

11029328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 11029328 is about 3321.0432095954. The cubic root of 11029328 is about 222.5954848347.

The spelling of 11029328 in words is "eleven million, twenty-nine thousand, three hundred twenty-eight".