1432795728 has 160 divisors (see below), whose sum is σ = 4573929472. Its totient is φ = 376358400.

The previous prime is 1432795703. The next prime is 1432795729. The reversal of 1432795728 is 8275972341.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1432795729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1445313 + ... + 1446303.

Almost surely, 2^1432795728 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 1432795728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286964736).

1432795728 is an abundant number, since it is smaller than the sum of its proper divisors (3141133744).

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

1432795728 is a wasteful number, since it uses less digits than its factorization.

1432795728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1347 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 1432795728 is about 37852.2882795743. The cubic root of 1432795728 is about 1127.3568966352.

The spelling of 1432795728 in words is "one billion, four hundred thirty-two million, seven hundred ninety-five thousand, seven hundred twenty-eight".