1448600328 has 384 divisors, whose sum is σ = 5067619200. Its totient is φ = 380878848.

The previous prime is 1448600323. The next prime is 1448600341. The reversal of 1448600328 is 8230068441.

1448600328 is a `hidden beast` number, since 1 + 4 + 48 + 600 + 3 + 2 + 8 = 666.

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 = 1448600292 and 1448600301.

It is not an unprimeable number, because it can be changed into a prime (1448600323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14933976 + ... + 14934072.

It is an arithmetic number, because the mean of its divisors is an integer number (13196925).

Almost surely, 2^1448600328 is an apocalyptic number.

1448600328 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 1448600328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533809600).

1448600328 is an abundant number, since it is smaller than the sum of its proper divisors (3619018872).

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

1448600328 is a wasteful number, since it uses less digits than its factorization.

1448600328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1448600328 is about 38060.4824982553. The cubic root of 1448600328 is about 1131.4868901135.

Adding to 1448600328 its reverse (8230068441), we get a palindrome (9678668769).

The spelling of 1448600328 in words is "one billion, four hundred forty-eight million, six hundred thousand, three hundred twenty-eight".