11249928 has 64 divisors (see below), whose sum is σ = 31684800. Its totient is φ = 3744144.

The previous prime is 11249923. The next prime is 11249929. The reversal of 11249928 is 82994211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (10368) is a multiple of the sum of its prime divisors (648).

It is a junction number, because it is equal to n+sod(n) for n = 11249892 and 11249901.

It is not an unprimeable number, because it can be changed into a prime (11249923) 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, 17175 + ... + 17817.

It is an arithmetic number, because the mean of its divisors is an integer number (495075).

Almost surely, 2^11249928 is an apocalyptic number.

11249928 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 11249928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842400).

11249928 is an abundant number, since it is smaller than the sum of its proper divisors (20434872).

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

11249928 is an frugal number, since it uses more digits than its factorization.

11249928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 648 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 11249928 is about 3354.0912331062. The cubic root of 11249928 is about 224.0697593103.

The spelling of 11249928 in words is "eleven million, two hundred forty-nine thousand, nine hundred twenty-eight".