10182048 has 72 divisors (see below), whose sum is σ = 28469952. Its totient is φ = 3185664.

The previous prime is 10182047. The next prime is 10182049. The reversal of 10182048 is 84028101.

10182048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10182047) and next prime (10182049).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10182041) 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, 27561 + ... + 27927.

It is an arithmetic number, because the mean of its divisors is an integer number (395416).

Almost surely, 2^10182048 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 10182048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234976).

10182048 is an abundant number, since it is smaller than the sum of its proper divisors (18287904).

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

10182048 is a wasteful number, since it uses less digits than its factorization.

10182048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 10182048 is about 3190.9321522088. The cubic root of 10182048 is about 216.7429832407.

The spelling of 10182048 in words is "ten million, one hundred eighty-two thousand, forty-eight".