1448965728 has 288 divisors, whose sum is σ = 4891041792. Its totient is φ = 398361600.

The previous prime is 1448965697. The next prime is 1448965741. The reversal of 1448965728 is 8275698441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7586113 + ... + 7586303.

It is an arithmetic number, because the mean of its divisors is an integer number (16982784).

Almost surely, 2^1448965728 is an apocalyptic number.

1448965728 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 1448965728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445520896).

1448965728 is an abundant number, since it is smaller than the sum of its proper divisors (3442076064).

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

1448965728 is a wasteful number, since it uses less digits than its factorization.

1448965728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 1448965728 is about 38065.2824500226. The cubic root of 1448965728 is about 1131.5820188488.

The spelling of 1448965728 in words is "one billion, four hundred forty-eight million, nine hundred sixty-five thousand, seven hundred twenty-eight".