1432028320 has 96 divisors (see below), whose sum is σ = 3669832656. Its totient is φ = 525926400.

The previous prime is 1432028293. The next prime is 1432028327. The reversal of 1432028320 is 238202341.

It can be written as a sum of positive squares in 8 ways, for example, as 409819536 + 1022208784 = 20244^2 + 31972^2 .

It is not an unprimeable number, because it can be changed into a prime (1432028327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105100 + ... + 117940.

Almost surely, 2^1432028320 is an apocalyptic number.

1432028320 is a gapful number since it is divisible by the number (10) 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 1432028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834916328).

1432028320 is an abundant number, since it is smaller than the sum of its proper divisors (2237804336).

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

1432028320 is a wasteful number, since it uses less digits than its factorization.

1432028320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12914 (or 12906 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 1432028320 is about 37842.1500446262. The cubic root of 1432028320 is about 1127.1555892220.

The spelling of 1432028320 in words is "one billion, four hundred thirty-two million, twenty-eight thousand, three hundred twenty".