11948328 has 96 divisors (see below), whose sum is σ = 37464960. Its totient is φ = 3369600.

The previous prime is 11948323. The next prime is 11948333. The reversal of 11948328 is 82384911.

It is an interprime number because it is at equal distance from previous prime (11948323) and next prime (11948333).

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.

It is a junction number, because it is equal to n+sod(n) for n = 11948292 and 11948301.

It is not an unprimeable number, because it can be changed into a prime (11948323) 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, 76026 + ... + 76182.

It is an arithmetic number, because the mean of its divisors is an integer number (390260).

Almost surely, 2^11948328 is an apocalyptic number.

11948328 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 11948328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18732480).

11948328 is an abundant number, since it is smaller than the sum of its proper divisors (25516632).

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

11948328 is a wasteful number, since it uses less digits than its factorization.

11948328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 320 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 11948328 is about 3456.6353582639. The cubic root of 11948328 is about 228.6137664133.

The spelling of 11948328 in words is "eleven million, nine hundred forty-eight thousand, three hundred twenty-eight".