1048128 has 56 divisors (see below), whose sum is σ = 2852928. Its totient is φ = 339456.

The previous prime is 1048127. The next prime is 1048129. The reversal of 1048128 is 8218401.

It is an interprime number because it is at equal distance from previous prime (1048127) and next prime (1048129).

It is a super-4 number, since 4×1048128⁴ (a number of 25 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

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

It is a nialpdrome in base 4 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1048098 and 1048107.

It is not an unprimeable number, because it can be changed into a prime (1048123) 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, 10125 + ... + 10227.

2^1048128 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 1048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426464).

1048128 is an abundant number, since it is smaller than the sum of its proper divisors (1804800).

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

1048128 is a wasteful number, since it uses less digits than its factorization.

1048128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

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

The square root of 1048128 is about 1023.7812266300. The cubic root of 1048128 is about 101.5791967658.

It can be divided in two parts, 1048 and 128, that added together give a triangular number (1176 = T₄₈).

The spelling of 1048128 in words is "one million, forty-eight thousand, one hundred twenty-eight".