10938528 has 72 divisors (see below), whose sum is σ = 32760000. Its totient is φ = 3452544.

The previous prime is 10938523. The next prime is 10938533. The reversal of 10938528 is 82583901.

It is an interprime number because it is at equal distance from previous prime (10938523) and next prime (10938533).

It is a tau number, because it is divible by the number of its divisors (72).

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 = 10938492 and 10938501.

It is not an unprimeable number, because it can be changed into a prime (10938523) 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, 4473 + ... + 6471.

It is an arithmetic number, because the mean of its divisors is an integer number (455000).

Almost surely, 2^10938528 is an apocalyptic number.

10938528 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 10938528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380000).

10938528 is an abundant number, since it is smaller than the sum of its proper divisors (21821472).

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

10938528 is a wasteful number, since it uses less digits than its factorization.

10938528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 10938528 is about 3307.3445541703. The cubic root of 10938528 is about 221.9829546202.

The spelling of 10938528 in words is "ten million, nine hundred thirty-eight thousand, five hundred twenty-eight".