1432897128 has 288 divisors, whose sum is σ = 4554295200. Its totient is φ = 419437440.

The previous prime is 1432897073. The next prime is 1432897133. The reversal of 1432897128 is 8217982341.

It is a happy number.

1432897128 is a `hidden beast` number, since 1 + 432 + 8 + 97 + 128 = 666.

Its product of digits (193536) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24286363 + ... + 24286421.

It is an arithmetic number, because the mean of its divisors is an integer number (15813525).

Almost surely, 2^1432897128 is an apocalyptic number.

1432897128 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 1432897128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277147600).

1432897128 is an abundant number, since it is smaller than the sum of its proper divisors (3121398072).

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

1432897128 is a wasteful number, since it uses less digits than its factorization.

1432897128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 108 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1432897128 is about 37853.6276729193. The cubic root of 1432897128 is about 1127.3834906314.

The spelling of 1432897128 in words is "one billion, four hundred thirty-two million, eight hundred ninety-seven thousand, one hundred twenty-eight".