10819728 has 60 divisors (see below), whose sum is σ = 30505488. Its totient is φ = 3579840.

The previous prime is 10819727. The next prime is 10819741. The reversal of 10819728 is 82791801.

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

It is a junction number, because it is equal to n+sod(n) for n = 10819692 and 10819701.

It is not an unprimeable number, because it can be changed into a prime (10819723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32523 + ... + 32853.

Almost surely, 2^10819728 is an apocalyptic number.

10819728 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 10819728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252744).

10819728 is an abundant number, since it is smaller than the sum of its proper divisors (19685760).

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

10819728 is a wasteful number, since it uses less digits than its factorization.

10819728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 10819728 is about 3289.3354952026. The cubic root of 10819728 is about 221.1763980019.

The spelling of 10819728 in words is "ten million, eight hundred nineteen thousand, seven hundred twenty-eight".