1428091120 has 80 divisors (see below), whose sum is σ = 3524238720. Its totient is φ = 536317952.

The previous prime is 1428091117. The next prime is 1428091123. The reversal of 1428091120 is 211908241.

It is an interprime number because it is at equal distance from previous prime (1428091117) and next prime (1428091123).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428091123) 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, 691209 + ... + 693271.

It is an arithmetic number, because the mean of its divisors is an integer number (44052984).

Almost surely, 2^1428091120 is an apocalyptic number.

1428091120 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 1428091120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762119360).

1428091120 is an abundant number, since it is smaller than the sum of its proper divisors (2096147600).

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

1428091120 is a wasteful number, since it uses less digits than its factorization.

1428091120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1428091120 is about 37790.0928816006. The cubic root of 1428091120 is about 1126.1216454427.

Adding to 1428091120 its reverse (211908241), we get a palindrome (1639999361).

The spelling of 1428091120 in words is "one billion, four hundred twenty-eight million, ninety-one thousand, one hundred twenty".