1448928 has 120 divisors (see below), whose sum is σ = 4695768. Its totient is φ = 435456.

The previous prime is 1448903. The next prime is 1448929. The reversal of 1448928 is 8298441.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1448892 and 1448901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1448929) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33675 + ... + 33717.

2^1448928 is an apocalyptic number.

1448928 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 1448928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347884).

1448928 is an abundant number, since it is smaller than the sum of its proper divisors (3246840).

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

1448928 is a wasteful number, since it uses less digits than its factorization.

1448928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 61 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1448928 is about 1203.7142518056. The cubic root of 1448928 is about 113.1572197430.

The spelling of 1448928 in words is "one million, four hundred forty-eight thousand, nine hundred twenty-eight".