1431728100 has 432 divisors, whose sum is σ = 5323159296. Its totient is φ = 317952000.

The previous prime is 1431728069. The next prime is 1431728107. The reversal of 1431728100 is 18271341.

It is a super-2 number, since 2×1431728100² = 4099690704659220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1431728107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7910010 + ... + 7910190.

It is an arithmetic number, because the mean of its divisors is an integer number (12322128).

Almost surely, 2^1431728100 is an apocalyptic number.

1431728100 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 1431728100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661579648).

1431728100 is an abundant number, since it is smaller than the sum of its proper divisors (3891431196).

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

1431728100 is a wasteful number, since it uses less digits than its factorization.

1431728100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1431728100 is about 37838.1830959152. The cubic root of 1431728100 is about 1127.0768155700.

Adding to 1431728100 its reverse (18271341), we get a palindrome (1449999441).

The spelling of 1431728100 in words is "one billion, four hundred thirty-one million, seven hundred twenty-eight thousand, one hundred".