10819488 has 48 divisors (see below), whose sum is σ = 29072736. Its totient is φ = 3521280.

The previous prime is 10819483. The next prime is 10819489. The reversal of 10819488 is 88491801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10819488² = 234122641164288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10819483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2818 + ... + 5438.

It is an arithmetic number, because the mean of its divisors is an integer number (605682).

Almost surely, 2^10819488 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 10819488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14536368).

10819488 is an abundant number, since it is smaller than the sum of its proper divisors (18253248).

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

10819488 is a wasteful number, since it uses less digits than its factorization.

10819488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 10819488 is about 3289.2990134678. The cubic root of 10819488 is about 221.1747626334.

The spelling of 10819488 in words is "ten million, eight hundred nineteen thousand, four hundred eighty-eight".