10741328 has 40 divisors (see below), whose sum is σ = 22660008. Its totient is φ = 4902912.

The previous prime is 10741319. The next prime is 10741337. The reversal of 10741328 is 82314701.

It is an interprime number because it is at equal distance from previous prime (10741319) and next prime (10741337).

It can be written as a sum of positive squares in 4 ways, for example, as 61504 + 10679824 = 248^2 + 3268^2 .

It is a super-2 number, since 2×10741328² = 230752254407168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 10741297 and 10741306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23276 + ... + 23732.

Almost surely, 2^10741328 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 10741328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11330004).

10741328 is an abundant number, since it is smaller than the sum of its proper divisors (11918680).

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

10741328 is a wasteful number, since it uses less digits than its factorization.

10741328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 10741328 is about 3277.3965277336. The cubic root of 10741328 is about 220.6408860312.

The spelling of 10741328 in words is "ten million, seven hundred forty-one thousand, three hundred twenty-eight".